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        <a href="Priithon-module.html">Package&nbsp;Priithon</a> ::
        Module&nbsp;fftfuncs
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<h1 class="epydoc">Source Code for <a href="Priithon.fftfuncs-module.html">Module Priithon.fftfuncs</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">   1</tt>  <tt class="py-line"><tt class="py-docstring">"""Priithon F module: F as in FFT (todo: cleanup) and</tt> </tt>
<a name="L2"></a><tt class="py-lineno">   2</tt>  <tt class="py-line"><tt class="py-docstring">                        as in Fields (think, physics - or German)</tt> </tt>
<a name="L3"></a><tt class="py-lineno">   3</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L4"></a><tt class="py-lineno">   4</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">__future__</tt> <tt class="py-keyword">import</tt> <tt class="py-name">absolute_import</tt> </tt>
<a name="L5"></a><tt class="py-lineno">   5</tt>  <tt class="py-line"><tt class="py-name">__author__</tt>  <tt class="py-op">=</tt> <tt class="py-string">"Sebastian Haase &lt;seb.haase+Priithon@gmail.com&gt;"</tt> </tt>
<a name="L6"></a><tt class="py-lineno">   6</tt>  <tt class="py-line"><tt id="link-0" class="py-name" targets="Variable Priithon.PriShell.__license__=Priithon.PriShell-module.html#__license__,Variable Priithon.__license__=Priithon-module.html#__license__"><a title="Priithon.PriShell.__license__
Priithon.__license__" class="py-name" href="#" onclick="return doclink('link-0', '__license__', 'link-0');">__license__</a></tt> <tt class="py-op">=</tt> <tt class="py-string">"BSD license - see LICENSE file"</tt> </tt>
<a name="L7"></a><tt class="py-lineno">   7</tt>  <tt class="py-line"> </tt>
<a name="L8"></a><tt class="py-lineno">   8</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">as</tt> <tt class="py-name">N</tt> </tt>
<a name="L9"></a><tt class="py-lineno">   9</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-op">.</tt><tt id="link-1" class="py-name" targets="Module Priithon.mockNDarray=Priithon.mockNDarray-module.html,Class Priithon.mockNDarray.mockNDarray=Priithon.mockNDarray.mockNDarray-class.html"><a title="Priithon.mockNDarray
Priithon.mockNDarray.mockNDarray" class="py-name" href="#" onclick="return doclink('link-1', 'mockNDarray', 'link-1');">mockNDarray</a></tt> <tt class="py-keyword">import</tt> <tt id="link-2" class="py-name"><a title="Priithon.mockNDarray
Priithon.mockNDarray.mockNDarray" class="py-name" href="#" onclick="return doclink('link-2', 'mockNDarray', 'link-1');">mockNDarray</a></tt> </tt>
<a name="L10"></a><tt class="py-lineno">  10</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-op">.</tt><tt id="link-3" class="py-name" targets="Module Priithon.mandel=Priithon.mandel-module.html,Function Priithon.mandel.mandel()=Priithon.mandel-module.html#mandel"><a title="Priithon.mandel
Priithon.mandel.mandel" class="py-name" href="#" onclick="return doclink('link-3', 'mandel', 'link-3');">mandel</a></tt> <tt class="py-keyword">import</tt> <tt id="link-4" class="py-name"><a title="Priithon.mandel
Priithon.mandel.mandel" class="py-name" href="#" onclick="return doclink('link-4', 'mandel', 'link-3');">mandel</a></tt> <tt class="py-keyword">as</tt> <tt class="py-name">mandelbrotArr</tt> </tt>
<a name="L11"></a><tt class="py-lineno">  11</tt>  <tt class="py-line"> </tt>
<a name="L12"></a><tt class="py-lineno">  12</tt>  <tt class="py-line"><tt id="link-5" class="py-name" targets="Variable Priithon.fftfuncs.defshape=Priithon.fftfuncs-module.html#defshape"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-5', 'defshape', 'link-5');">defshape</a></tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-number">256</tt><tt class="py-op">,</tt><tt class="py-number">256</tt><tt class="py-op">)</tt>  <tt class="py-comment">#use this default shape to make testing easy</tt> </tt>
<a name="L13"></a><tt class="py-lineno">  13</tt>  <tt class="py-line"> </tt>
<a name="__fromfunction"></a><div id="__fromfunction-def"><a name="L14"></a><tt class="py-lineno">  14</tt> <a class="py-toggle" href="#" id="__fromfunction-toggle" onclick="return toggle('__fromfunction');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#__fromfunction">__fromfunction</a><tt class="py-op">(</tt><tt class="py-param">f</tt><tt class="py-op">,</tt> <tt class="py-param">s</tt><tt class="py-op">,</tt> <tt class="py-param">t</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="__fromfunction-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="__fromfunction-expanded"><a name="L15"></a><tt class="py-lineno">  15</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">fromfunction</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-name">t</tt><tt class="py-op">)</tt> </tt>
</div><a name="L16"></a><tt class="py-lineno">  16</tt>  <tt class="py-line"> </tt>
<a name="_normalize_shape"></a><div id="_normalize_shape-def"><a name="L17"></a><tt class="py-lineno">  17</tt> <a class="py-toggle" href="#" id="_normalize_shape-toggle" onclick="return toggle('_normalize_shape');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#_normalize_shape">_normalize_shape</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="_normalize_shape-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="_normalize_shape-expanded"><a name="L18"></a><tt class="py-lineno">  18</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L19"></a><tt class="py-lineno">  19</tt>  <tt class="py-line"><tt class="py-docstring">    return shape </tt> </tt>
<a name="L20"></a><tt class="py-lineno">  20</tt>  <tt class="py-line"><tt class="py-docstring">    in case a scalar was given:</tt> </tt>
<a name="L21"></a><tt class="py-lineno">  21</tt>  <tt class="py-line"><tt class="py-docstring">    return (shape,) </tt> </tt>
<a name="L22"></a><tt class="py-lineno">  22</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L23"></a><tt class="py-lineno">  23</tt>  <tt class="py-line">    <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L24"></a><tt class="py-lineno">  24</tt>  <tt class="py-line">        <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-6" class="py-name" targets="Variable Priithon.mockNDarray.mockNDarray.shape=Priithon.mockNDarray.mockNDarray-class.html#shape"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-6', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L25"></a><tt class="py-lineno">  25</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-7" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-7', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L26"></a><tt class="py-lineno">  26</tt>  <tt class="py-line">    <tt class="py-keyword">except</tt> <tt class="py-name">TypeError</tt><tt class="py-op">:</tt> </tt>
<a name="L27"></a><tt class="py-lineno">  27</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt id="link-8" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-8', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
</div><a name="_normailze_ndparm"></a><div id="_normailze_ndparm-def"><a name="L28"></a><tt class="py-lineno">  28</tt> <a class="py-toggle" href="#" id="_normailze_ndparm-toggle" onclick="return toggle('_normailze_ndparm');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#_normailze_ndparm">_normailze_ndparm</a><tt class="py-op">(</tt><tt class="py-param">ndparm</tt><tt class="py-op">,</tt> <tt class="py-param">rank</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="_normailze_ndparm-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="_normailze_ndparm-expanded"><a name="L29"></a><tt class="py-lineno">  29</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L30"></a><tt class="py-lineno">  30</tt>  <tt class="py-line"><tt class="py-docstring">    check that nd parm is either scalar or of length rank</tt> </tt>
<a name="L31"></a><tt class="py-lineno">  31</tt>  <tt class="py-line"><tt class="py-docstring">    if scalar return (ndparm,)*rank</tt> </tt>
<a name="L32"></a><tt class="py-lineno">  32</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L33"></a><tt class="py-lineno">  33</tt>  <tt class="py-line">    <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L34"></a><tt class="py-lineno">  34</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">ndparm</tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">rank</tt><tt class="py-op">:</tt> </tt>
<a name="L35"></a><tt class="py-lineno">  35</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"ndparm must be of length %d"</tt><tt class="py-op">%</tt><tt class="py-name">rank</tt> </tt>
<a name="L36"></a><tt class="py-lineno">  36</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">ndparm</tt> </tt>
<a name="L37"></a><tt class="py-lineno">  37</tt>  <tt class="py-line">    <tt class="py-keyword">except</tt> <tt class="py-name">TypeError</tt><tt class="py-op">:</tt> </tt>
<a name="L38"></a><tt class="py-lineno">  38</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">ndparm</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">rank</tt> </tt>
</div><a name="L39"></a><tt class="py-lineno">  39</tt>  <tt class="py-line"> </tt>
<a name="L40"></a><tt class="py-lineno">  40</tt>  <tt class="py-line">     </tt>
<a name="zeroArr"></a><div id="zeroArr-def"><a name="L41"></a><tt class="py-lineno">  41</tt> <a class="py-toggle" href="#" id="zeroArr-toggle" onclick="return toggle('zeroArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArr">zeroArr</a><tt class="py-op">(</tt><tt class="py-param">dtype</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArr-expanded"><a name="L42"></a><tt class="py-lineno">  42</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns array of given dtype and shape"""</tt> </tt>
<a name="L43"></a><tt class="py-lineno">  43</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt id="link-9" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-9', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">tuple</tt><tt class="py-op">:</tt> </tt>
<a name="L44"></a><tt class="py-lineno">  44</tt>  <tt class="py-line">        <tt id="link-10" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-10', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-11" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-11', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L45"></a><tt class="py-lineno">  45</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">zeros</tt><tt class="py-op">(</tt><tt id="link-12" class="py-name" targets="Variable Priithon.mockNDarray.mockNDarray.dtype=Priithon.mockNDarray.mockNDarray-class.html#dtype"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-12', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt id="link-13" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-13', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">,</tt> <tt id="link-14" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-14', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt id="link-15" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-15', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrF"></a><div id="zeroArrF-def"><a name="L46"></a><tt class="py-lineno">  46</tt> <a class="py-toggle" href="#" id="zeroArrF-toggle" onclick="return toggle('zeroArrF');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrF">zeroArrF</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrF-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrF-expanded"><a name="L47"></a><tt class="py-lineno">  47</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns 'single prec. float' array of given shape"""</tt> </tt>
<a name="L48"></a><tt class="py-lineno">  48</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-16" class="py-name" targets="Function Priithon.fftfuncs.zeroArr()=Priithon.fftfuncs-module.html#zeroArr"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-16', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-17" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-17', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrD"></a><div id="zeroArrD-def"><a name="L49"></a><tt class="py-lineno">  49</tt> <a class="py-toggle" href="#" id="zeroArrD-toggle" onclick="return toggle('zeroArrD');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrD">zeroArrD</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrD-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrD-expanded"><a name="L50"></a><tt class="py-lineno">  50</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns 'double prec. float' array of given shape"""</tt> </tt>
<a name="L51"></a><tt class="py-lineno">  51</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-18" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-18', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-19" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-19', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrC"></a><div id="zeroArrC-def"><a name="L52"></a><tt class="py-lineno">  52</tt> <a class="py-toggle" href="#" id="zeroArrC-toggle" onclick="return toggle('zeroArrC');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrC">zeroArrC</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrC-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrC-expanded"><a name="L53"></a><tt class="py-lineno">  53</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns 'single prec. complex' array of given shape"""</tt> </tt>
<a name="L54"></a><tt class="py-lineno">  54</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-20" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-20', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-21" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-21', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrCC"></a><div id="zeroArrCC-def"><a name="L55"></a><tt class="py-lineno">  55</tt> <a class="py-toggle" href="#" id="zeroArrCC-toggle" onclick="return toggle('zeroArrCC');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrCC">zeroArrCC</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrCC-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrCC-expanded"><a name="L56"></a><tt class="py-lineno">  56</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns 'double prec. complex' array of given shape"""</tt> </tt>
<a name="L57"></a><tt class="py-lineno">  57</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-22" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-22', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-23" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-23', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrU"></a><div id="zeroArrU-def"><a name="L58"></a><tt class="py-lineno">  58</tt> <a class="py-toggle" href="#" id="zeroArrU-toggle" onclick="return toggle('zeroArrU');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrU">zeroArrU</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrU-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrU-expanded"><a name="L59"></a><tt class="py-lineno">  59</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns '16bit unsigned int' array of given shape"""</tt> </tt>
<a name="L60"></a><tt class="py-lineno">  60</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-24" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-24', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">uint16</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-25" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-25', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrI"></a><div id="zeroArrI-def"><a name="L61"></a><tt class="py-lineno">  61</tt> <a class="py-toggle" href="#" id="zeroArrI-toggle" onclick="return toggle('zeroArrI');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrI">zeroArrI</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrI-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrI-expanded"><a name="L62"></a><tt class="py-lineno">  62</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns '32bit signed int' array of given shape"""</tt> </tt>
<a name="L63"></a><tt class="py-lineno">  63</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-26" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-26', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int32</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-27" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-27', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrS"></a><div id="zeroArrS-def"><a name="L64"></a><tt class="py-lineno">  64</tt> <a class="py-toggle" href="#" id="zeroArrS-toggle" onclick="return toggle('zeroArrS');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrS">zeroArrS</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrS-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrS-expanded"><a name="L65"></a><tt class="py-lineno">  65</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns '16bit signed int' array of given shape"""</tt> </tt>
<a name="L66"></a><tt class="py-lineno">  66</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-28" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-28', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int16</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-29" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-29', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="zeroArrB"></a><div id="zeroArrB-def"><a name="L67"></a><tt class="py-lineno">  67</tt> <a class="py-toggle" href="#" id="zeroArrB-toggle" onclick="return toggle('zeroArrB');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zeroArrB">zeroArrB</a><tt class="py-op">(</tt><tt class="py-op">*</tt><tt class="py-param">shape</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zeroArrB-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zeroArrB-expanded"><a name="L68"></a><tt class="py-lineno">  68</tt>  <tt class="py-line">    <tt class="py-docstring">"""allocates and returns '8 bit unsigned int' array of given shape"""</tt> </tt>
<a name="L69"></a><tt class="py-lineno">  69</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-30" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-30', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">uint8</tt><tt class="py-op">,</tt> <tt class="py-op">*</tt><tt id="link-31" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-31', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L70"></a><tt class="py-lineno">  70</tt>  <tt class="py-line"><tt class="py-comment">#emptyArrF=zeroArrF</tt> </tt>
<a name="L71"></a><tt class="py-lineno">  71</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L72"></a><tt class="py-lineno">  72</tt>  <tt class="py-line"> </tt>
<a name="copyPadded"></a><div id="copyPadded-def"><a name="L73"></a><tt class="py-lineno">  73</tt> <a class="py-toggle" href="#" id="copyPadded-toggle" onclick="return toggle('copyPadded');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#copyPadded">copyPadded</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt><tt class="py-param">b</tt><tt class="py-op">,</tt> <tt class="py-param">pad</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="copyPadded-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="copyPadded-expanded"><a name="L74"></a><tt class="py-lineno">  74</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L75"></a><tt class="py-lineno">  75</tt>  <tt class="py-line"><tt class="py-docstring">    copy (smaller) array a into center of (larger) array b</tt> </tt>
<a name="L76"></a><tt class="py-lineno">  76</tt>  <tt class="py-line"><tt class="py-docstring">    set border values in b to 'pad'</tt> </tt>
<a name="L77"></a><tt class="py-lineno">  77</tt>  <tt class="py-line"><tt class="py-docstring">    if a is really larger than b than it is the inverse operation</tt> </tt>
<a name="L78"></a><tt class="py-lineno">  78</tt>  <tt class="py-line"><tt class="py-docstring">    (and 'pad' is ignored)</tt> </tt>
<a name="L79"></a><tt class="py-lineno">  79</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L80"></a><tt class="py-lineno">  80</tt>  <tt class="py-line"> </tt>
<a name="L81"></a><tt class="py-lineno">  81</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-32" class="py-name" targets="Variable Priithon.mockNDarray.mockNDarray.ndim=Priithon.mockNDarray.mockNDarray-class.html#ndim"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-32', 'ndim', 'link-32');">ndim</a></tt> <tt class="py-op">!=</tt> <tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-33" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-33', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">:</tt> </tt>
<a name="L82"></a><tt class="py-lineno">  82</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"arrays need to be of same ndim"</tt> </tt>
<a name="L83"></a><tt class="py-lineno">  83</tt>  <tt class="py-line">     </tt>
<a name="L84"></a><tt class="py-lineno">  84</tt>  <tt class="py-line">    <tt class="py-comment">######## print</tt> </tt>
<a name="L85"></a><tt class="py-lineno">  85</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">dS</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-34" class="py-name" targets="Variable Priithon.mandel.subtract=Priithon.mandel-module.html#subtract,Variable Priithon.plt.interface.subtract=Priithon.plt.interface-module.html#subtract,Variable Priithon.plt.plot_objects.subtract=Priithon.plt.plot_objects-module.html#subtract,Variable Priithon.plt.plot_utility.subtract=Priithon.plt.plot_utility-module.html#subtract,Variable Priithon.plt.subtract=Priithon.plt-module.html#subtract,Variable Priithon.plt.wxplt.subtract=Priithon.plt.wxplt-module.html#subtract"><a title="Priithon.mandel.subtract
Priithon.plt.interface.subtract
Priithon.plt.plot_objects.subtract
Priithon.plt.plot_utility.subtract
Priithon.plt.subtract
Priithon.plt.wxplt.subtract" class="py-name" href="#" onclick="return doclink('link-34', 'subtract', 'link-34');">subtract</a></tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-35" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-35', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-36" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-36', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L86"></a><tt class="py-lineno">  86</tt>  <tt class="py-line">    <tt class="py-comment"># if padding wanted and if NOT all UN-padding</tt> </tt>
<a name="L87"></a><tt class="py-lineno">  87</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">if</tt> <tt class="py-name">pad</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt> <tt class="py-keyword">and</tt> <tt class="py-keyword">not</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">alltrue</tt><tt class="py-op">(</tt> <tt class="py-name">dS</tt> <tt class="py-op">&lt;=</tt> <tt class="py-number">0</tt> <tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L88"></a><tt class="py-lineno">  88</tt>  <tt class="py-line">        <tt class="py-name">b</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">pad</tt> <tt class="py-comment">#HACK - because not very efficient !?</tt> </tt>
<a name="L89"></a><tt class="py-lineno">  89</tt>  <tt class="py-line">        </tt>
<a name="L90"></a><tt class="py-lineno">  90</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt id="link-37" class="py-name" targets="Variable Priithon.viewer.i=Priithon.viewer-module.html#i,Variable Priithon.viewer2.i=Priithon.viewer2-module.html#i,Variable Priithon.viewerCommon.i=Priithon.viewerCommon-module.html#i"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-37', 'i', 'link-37');">i</a></tt> <tt class="py-keyword">in</tt> <tt id="link-38" class="py-name" targets="Method Priithon.plt.plot_objects.axis_object.range()=Priithon.plt.plot_objects.axis_object-class.html#range"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-38', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-39" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-39', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L91"></a><tt class="py-lineno">  91</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-40" class="py-name" targets="Method Priithon.mockNDarray.mockNDarray.transpose()=Priithon.mockNDarray.mockNDarray-class.html#transpose"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-40', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-op">[</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-41" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-41', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt id="link-42" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-42', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-43" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-43', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L92"></a><tt class="py-lineno">  92</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-44" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-44', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">,</tt> <tt class="py-op">[</tt><tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-45" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-45', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt id="link-46" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-46', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-47" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-47', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L93"></a><tt class="py-lineno">  93</tt>  <tt class="py-line">        <tt class="py-name">dS</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-48" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-48', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">-</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-49" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-49', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L94"></a><tt class="py-lineno">  94</tt>  <tt class="py-line">        <tt class="py-name">d2</tt> <tt class="py-op">=</tt> <tt class="py-name">dS</tt><tt class="py-op">//</tt><tt class="py-number">2</tt> </tt>
<a name="L95"></a><tt class="py-lineno">  95</tt>  <tt class="py-line">        <tt class="py-comment">#print i, "AA)", a.shape[0], b.shape[0], dS, d2</tt> </tt>
<a name="L96"></a><tt class="py-lineno">  96</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">if</tt> <tt class="py-name">dS</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L97"></a><tt class="py-lineno">  97</tt>  <tt class="py-line">            <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt><tt class="py-op">[</tt><tt class="py-name">d2</tt><tt class="py-op">:</tt><tt class="py-name">d2</tt><tt class="py-op">+</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-50" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-50', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">]</tt> </tt>
<a name="L98"></a><tt class="py-lineno">  98</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">dS</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L99"></a><tt class="py-lineno">  99</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">dS</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt>  <tt class="py-comment"># otherwise going from odd size to even size and back shifts by 1</tt> </tt>
<a name="L100"></a><tt class="py-lineno"> 100</tt>  <tt class="py-line">                <tt class="py-name">d2</tt><tt class="py-op">+=</tt><tt class="py-number">1</tt> </tt>
<a name="L101"></a><tt class="py-lineno"> 101</tt>  <tt class="py-line">            <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-name">d2</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-name">d2</tt><tt class="py-op">+</tt> <tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-51" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-51', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">]</tt> </tt>
<a name="L102"></a><tt class="py-lineno"> 102</tt>  <tt class="py-line">    <tt class="py-name">b</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L103"></a><tt class="py-lineno"> 103</tt>  <tt class="py-line"> </tt>
<a name="L104"></a><tt class="py-lineno"> 104</tt>  <tt class="py-line"> </tt>
<a name="rgb2gray"></a><div id="rgb2gray-def"><a name="L105"></a><tt class="py-lineno"> 105</tt> <a class="py-toggle" href="#" id="rgb2gray-toggle" onclick="return toggle('rgb2gray');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#rgb2gray">rgb2gray</a><tt class="py-op">(</tt><tt class="py-param">rgb</tt><tt class="py-op">,</tt> <tt class="py-param">colorAxis</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="rgb2gray-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="rgb2gray-expanded"><a name="L106"></a><tt class="py-lineno"> 106</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L107"></a><tt class="py-lineno"> 107</tt>  <tt class="py-line"><tt class="py-docstring">    converts truecolor image `rgb` to grayscale intensity image.</tt> </tt>
<a name="L108"></a><tt class="py-lineno"> 108</tt>  <tt class="py-line"><tt class="py-docstring">    Eliminating hue and saturation, luminance is calculated as</tt> </tt>
<a name="L109"></a><tt class="py-lineno"> 109</tt>  <tt class="py-line"><tt class="py-docstring">    0.2989 * R + 0.5870 * G + 0.1140 * B </tt> </tt>
<a name="L110"></a><tt class="py-lineno"> 110</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L111"></a><tt class="py-lineno"> 111</tt>  <tt class="py-line"> </tt>
<a name="L112"></a><tt class="py-lineno"> 112</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">colorAxis</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L113"></a><tt class="py-lineno"> 113</tt>  <tt class="py-line">        <tt class="py-name">colorAxis</tt> <tt class="py-op">+=</tt> <tt class="py-name">rgb</tt><tt class="py-op">.</tt><tt id="link-52" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-52', 'ndim', 'link-32');">ndim</a></tt> </tt>
<a name="L114"></a><tt class="py-lineno"> 114</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">colorAxis</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L115"></a><tt class="py-lineno"> 115</tt>  <tt class="py-line">        <tt class="py-name">rgb</tt><tt class="py-op">=</tt><tt class="py-name">rgb</tt><tt class="py-op">.</tt><tt id="link-53" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-53', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">colorAxis</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt id="link-54" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-54', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">colorAxis</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> \ </tt>
<a name="L116"></a><tt class="py-lineno"> 116</tt>  <tt class="py-line">                                                 <tt class="py-op">+</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt id="link-55" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-55', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">colorAxis</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">rgb</tt><tt class="py-op">.</tt><tt id="link-56" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-56', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L117"></a><tt class="py-lineno"> 117</tt>  <tt class="py-line">    <tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">g</tt><tt class="py-op">,</tt><tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">rgb</tt> </tt>
<a name="L118"></a><tt class="py-lineno"> 118</tt>  <tt class="py-line">    <tt class="py-name">aLuminance</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">.</tt><tt id="link-57" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-57', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-58" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-58', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L119"></a><tt class="py-lineno"> 119</tt>  <tt class="py-line">    <tt class="py-name">aLuminance</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0.2989</tt> <tt class="py-op">*</tt> <tt class="py-name">r</tt> <tt class="py-op">+</tt> <tt class="py-number">0.5870</tt> <tt class="py-op">*</tt> <tt class="py-name">g</tt> <tt class="py-op">+</tt> <tt class="py-number">0.1140</tt> <tt class="py-op">*</tt> <tt class="py-name">b</tt> </tt>
<a name="L120"></a><tt class="py-lineno"> 120</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">aLuminance</tt> </tt>
</div><a name="L121"></a><tt class="py-lineno"> 121</tt>  <tt class="py-line"> </tt>
<a name="L122"></a><tt class="py-lineno"> 122</tt>  <tt class="py-line"> </tt>
<a name="getByteSwapped"></a><div id="getByteSwapped-def"><a name="L123"></a><tt class="py-lineno"> 123</tt> <a class="py-toggle" href="#" id="getByteSwapped-toggle" onclick="return toggle('getByteSwapped');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getByteSwapped">getByteSwapped</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getByteSwapped-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getByteSwapped-expanded"><a name="L124"></a><tt class="py-lineno"> 124</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L125"></a><tt class="py-lineno"> 125</tt>  <tt class="py-line"><tt class="py-docstring">    returns byteswapped version of arr</tt> </tt>
<a name="L126"></a><tt class="py-lineno"> 126</tt>  <tt class="py-line"><tt class="py-docstring">    all values should be the same as in arr</tt> </tt>
<a name="L127"></a><tt class="py-lineno"> 127</tt>  <tt class="py-line"><tt class="py-docstring">    only memory representation and byteorder-flag are changed</tt> </tt>
<a name="L128"></a><tt class="py-lineno"> 128</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L129"></a><tt class="py-lineno"> 129</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-59" class="py-name" targets="Function Priithon.useful.arr()=Priithon.useful-module.html#arr"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-59', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt class="py-name">byteswap</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-60" class="py-name" targets="Method Priithon.mockNDarray.mockNDarray.view()=Priithon.mockNDarray.mockNDarray-class.html#view,Function Priithon.viewer.view()=Priithon.viewer-module.html#view,Function Priithon.viewer2.view()=Priithon.viewer2-module.html#view"><a title="Priithon.mockNDarray.mockNDarray.view
Priithon.viewer.view
Priithon.viewer2.view" class="py-name" href="#" onclick="return doclink('link-60', 'view', 'link-60');">view</a></tt><tt class="py-op">(</tt><tt id="link-61" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-61', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-62" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-62', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">newbyteorder</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="getWithoutBorder"></a><div id="getWithoutBorder-def"><a name="L130"></a><tt class="py-lineno"> 130</tt> <a class="py-toggle" href="#" id="getWithoutBorder-toggle" onclick="return toggle('getWithoutBorder');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getWithoutBorder">getWithoutBorder</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">border</tt><tt class="py-op">=</tt><tt class="py-number">10</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getWithoutBorder-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getWithoutBorder-expanded"><a name="L131"></a><tt class="py-lineno"> 131</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L132"></a><tt class="py-lineno"> 132</tt>  <tt class="py-line"><tt class="py-docstring">    returns 'view' of arr excluding border</tt> </tt>
<a name="L133"></a><tt class="py-lineno"> 133</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L134"></a><tt class="py-lineno"> 134</tt>  <tt class="py-line"><tt class="py-docstring">    if border is a scalar:</tt> </tt>
<a name="L135"></a><tt class="py-lineno"> 135</tt>  <tt class="py-line"><tt class="py-docstring">       border elements get cut out on both ends in each axis</tt> </tt>
<a name="L136"></a><tt class="py-lineno"> 136</tt>  <tt class="py-line"><tt class="py-docstring">    if border is an array </tt> </tt>
<a name="L137"></a><tt class="py-lineno"> 137</tt>  <tt class="py-line"><tt class="py-docstring">       the number of cut out elements in axis a in taken from border[a]</tt> </tt>
<a name="L138"></a><tt class="py-lineno"> 138</tt>  <tt class="py-line"><tt class="py-docstring">       if border length is to short, border gets extended with its "last" entry</tt> </tt>
<a name="L139"></a><tt class="py-lineno"> 139</tt>  <tt class="py-line"><tt class="py-docstring">          -&gt; e.g. arr.ndim=3, border=(0,10) --&gt; border gets changed to (0,10,10)</tt> </tt>
<a name="L140"></a><tt class="py-lineno"> 140</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L141"></a><tt class="py-lineno"> 141</tt>  <tt class="py-line"><tt class="py-docstring">    array will not be contiguous</tt> </tt>
<a name="L142"></a><tt class="py-lineno"> 142</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L143"></a><tt class="py-lineno"> 143</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asanyarray</tt><tt class="py-op">(</tt><tt id="link-63" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-63', 'arr', 'link-59');">arr</a></tt><tt class="py-op">)</tt> </tt>
<a name="L144"></a><tt class="py-lineno"> 144</tt>  <tt class="py-line">    <tt class="py-name">border</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">border</tt><tt class="py-op">)</tt> </tt>
<a name="L145"></a><tt class="py-lineno"> 145</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">border</tt><tt class="py-op">.</tt><tt id="link-64" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-64', 'ndim', 'link-32');">ndim</a></tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L146"></a><tt class="py-lineno"> 146</tt>  <tt class="py-line">        <tt class="py-name">border</tt><tt class="py-op">.</tt><tt id="link-65" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-65', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-number">1</tt> </tt>
<a name="L147"></a><tt class="py-lineno"> 147</tt>  <tt class="py-line">    <tt class="py-name">lb</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">border</tt><tt class="py-op">)</tt> </tt>
<a name="L148"></a><tt class="py-lineno"> 148</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">border</tt><tt class="py-op">)</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-66" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-66', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">:</tt> </tt>
<a name="L149"></a><tt class="py-lineno"> 149</tt>  <tt class="py-line">        <tt class="py-name">border</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">resize</tt><tt class="py-op">(</tt><tt class="py-name">border</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-67" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-67', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt> </tt>
<a name="L150"></a><tt class="py-lineno"> 150</tt>  <tt class="py-line">        <tt class="py-name">border</tt><tt class="py-op">[</tt><tt class="py-name">lb</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">border</tt><tt class="py-op">[</tt><tt class="py-name">lb</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L151"></a><tt class="py-lineno"> 151</tt>  <tt class="py-line">    <tt class="py-comment"># CHECK should we raise if lower or upper outside a !?</tt> </tt>
<a name="L152"></a><tt class="py-lineno"> 152</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L153"></a><tt class="py-lineno"> 153</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt id="link-68" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-68', 'i', 'link-37');">i</a></tt> <tt class="py-keyword">in</tt> <tt id="link-69" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-69', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-70" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-70', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L154"></a><tt class="py-lineno"> 154</tt>  <tt class="py-line">        <tt class="py-name">lower</tt> <tt class="py-op">=</tt> <tt class="py-name">border</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt id="link-71" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-71', 'i', 'link-37');">i</a></tt><tt class="py-op">]</tt> </tt>
<a name="L155"></a><tt class="py-lineno"> 155</tt>  <tt class="py-line">        <tt class="py-name">upper</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-name">border</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt id="link-72" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-72', 'i', 'link-37');">i</a></tt><tt class="py-op">]</tt> </tt>
<a name="L156"></a><tt class="py-lineno"> 156</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-name">lower</tt><tt class="py-op">:</tt><tt class="py-name">upper</tt><tt class="py-op">]</tt> </tt>
<a name="L157"></a><tt class="py-lineno"> 157</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-73" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-73', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-op">[</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-74" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-74', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt id="link-75" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-75', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-76" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-76', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L158"></a><tt class="py-lineno"> 158</tt>  <tt class="py-line">        <tt class="py-comment">#border[:] = [border[-1]]+border[:-1]</tt> </tt>
<a name="L159"></a><tt class="py-lineno"> 159</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L160"></a><tt class="py-lineno"> 160</tt>  <tt class="py-line">     </tt>
<a name="getPadded"></a><div id="getPadded-def"><a name="L161"></a><tt class="py-lineno"> 161</tt> <a class="py-toggle" href="#" id="getPadded-toggle" onclick="return toggle('getPadded');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getPadded">getPadded</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">shape</tt><tt class="py-op">,</tt> <tt class="py-param">pad</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt>  </tt>
</div><a name="L162"></a><tt class="py-lineno"> 162</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L163"></a><tt class="py-lineno"> 163</tt>  <tt class="py-line"><tt class="py-docstring">    create and return array b of given shape and dtype(default: use a.dtype)</tt> </tt>
<a name="L164"></a><tt class="py-lineno"> 164</tt>  <tt class="py-line"><tt class="py-docstring">    copy (smaller) array a into center of (larger) array b</tt> </tt>
<a name="L165"></a><tt class="py-lineno"> 165</tt>  <tt class="py-line"><tt class="py-docstring">    set border values in b to 'pad'</tt> </tt>
<a name="L166"></a><tt class="py-lineno"> 166</tt>  <tt class="py-line"><tt class="py-docstring">    in case that 'a' is larger than 'b' then it the inverse operation is done</tt> </tt>
<a name="L167"></a><tt class="py-lineno"> 167</tt>  <tt class="py-line"><tt class="py-docstring">      (and 'pad' is ignored)</tt> </tt>
<a name="L168"></a><tt class="py-lineno"> 168</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L169"></a><tt class="py-lineno"> 169</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-77" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-77', 'dtype', 'link-12');">dtype</a></tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L170"></a><tt class="py-lineno"> 170</tt>  <tt class="py-line">        <tt id="link-78" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-78', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-79" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-79', 'dtype', 'link-12');">dtype</a></tt> </tt>
<a name="L171"></a><tt class="py-lineno"> 171</tt>  <tt class="py-line">    <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-80" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-80', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-81" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-81', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L172"></a><tt class="py-lineno"> 172</tt>  <tt class="py-line">    <tt id="link-82" class="py-name" targets="Function Priithon.fftfuncs.copyPadded()=Priithon.fftfuncs-module.html#copyPadded"><a title="Priithon.fftfuncs.copyPadded" class="py-name" href="#" onclick="return doclink('link-82', 'copyPadded', 'link-82');">copyPadded</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt><tt class="py-name">b</tt><tt class="py-op">,</tt><tt class="py-name">pad</tt><tt class="py-op">)</tt> </tt>
<a name="L173"></a><tt class="py-lineno"> 173</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">b</tt> </tt>
</div><a name="L174"></a><tt class="py-lineno"> 174</tt>  <tt class="py-line"> </tt>
<a name="getThresholded"></a><div id="getThresholded-def"><a name="L175"></a><tt class="py-lineno"> 175</tt> <a class="py-toggle" href="#" id="getThresholded-toggle" onclick="return toggle('getThresholded');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getThresholded">getThresholded</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">min</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">force0Base</tt><tt class="py-op">=</tt><tt id="link-83" class="py-name" targets="Variable Priithon.wxPyPlot.False=Priithon.wxPyPlot-module.html#False"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-83', 'False', 'link-83');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getThresholded-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getThresholded-expanded"><a name="L176"></a><tt class="py-lineno"> 176</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L177"></a><tt class="py-lineno"> 177</tt>  <tt class="py-line"><tt class="py-docstring">    creates new array with same values as </tt> </tt>
<a name="L178"></a><tt class="py-lineno"> 178</tt>  <tt class="py-line"><tt class="py-docstring">    arr except where arr is less than min.</tt> </tt>
<a name="L179"></a><tt class="py-lineno"> 179</tt>  <tt class="py-line"><tt class="py-docstring">    Those are set to min, unless </tt> </tt>
<a name="L180"></a><tt class="py-lineno"> 180</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L181"></a><tt class="py-lineno"> 181</tt>  <tt class="py-line"><tt class="py-docstring">    if force0Base is true:</tt> </tt>
<a name="L182"></a><tt class="py-lineno"> 182</tt>  <tt class="py-line"><tt class="py-docstring">      new min is set to 0; all other pixels are subtracted by min</tt> </tt>
<a name="L183"></a><tt class="py-lineno"> 183</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L184"></a><tt class="py-lineno"> 184</tt>  <tt class="py-line">    <tt id="link-84" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-84', 'arr', 'link-59');">arr</a></tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt id="link-85" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-85', 'arr', 'link-59');">arr</a></tt><tt class="py-op">)</tt> </tt>
<a name="L185"></a><tt class="py-lineno"> 185</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">force0Base</tt><tt class="py-op">:</tt> </tt>
<a name="L186"></a><tt class="py-lineno"> 186</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt>  <tt id="link-86" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-86', 'arr', 'link-59');">arr</a></tt> <tt class="py-op">&gt;</tt> <tt id="link-87" class="py-name" targets="Function Priithon.useful.min()=Priithon.useful-module.html#min"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-87', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt id="link-88" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-88', 'arr', 'link-59');">arr</a></tt><tt class="py-op">-</tt><tt id="link-89" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-89', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt class="py-number">0</tt>   <tt class="py-op">)</tt> </tt>
<a name="L187"></a><tt class="py-lineno"> 187</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L188"></a><tt class="py-lineno"> 188</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt>  <tt id="link-90" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-90', 'arr', 'link-59');">arr</a></tt> <tt class="py-op">&gt;</tt> <tt id="link-91" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-91', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt id="link-92" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-92', 'arr', 'link-59');">arr</a></tt><tt class="py-op">,</tt> <tt id="link-93" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-93', 'min', 'link-87');">min</a></tt>   <tt class="py-op">)</tt> </tt>
</div><a name="L189"></a><tt class="py-lineno"> 189</tt>  <tt class="py-line"> </tt>
<a name="L190"></a><tt class="py-lineno"> 190</tt>  <tt class="py-line"> </tt>
<a name="bin2d"></a><div id="bin2d-def"><a name="L191"></a><tt class="py-lineno"> 191</tt> <a class="py-toggle" href="#" id="bin2d-toggle" onclick="return toggle('bin2d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#bin2d">bin2d</a><tt class="py-op">(</tt><tt class="py-param">inArr</tt><tt class="py-op">,</tt> <tt class="py-param">outArr</tt><tt class="py-op">,</tt> <tt class="py-param">binX</tt><tt class="py-op">=</tt><tt class="py-number">2</tt><tt class="py-op">,</tt> <tt class="py-param">binY</tt><tt class="py-op">=</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="bin2d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="bin2d-expanded"><a name="L192"></a><tt class="py-lineno"> 192</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-94" class="py-name" targets="Module Priithon.useful=Priithon.useful-module.html"><a title="Priithon.useful" class="py-name" href="#" onclick="return doclink('link-94', 'useful', 'link-94');">useful</a></tt> <tt class="py-keyword">as</tt> <tt class="py-name">U</tt> </tt>
<a name="L193"></a><tt class="py-lineno"> 193</tt>  <tt class="py-line">    <tt class="py-name">U</tt><tt class="py-op">.</tt><tt id="link-95" class="py-name" targets="Function Priithon.useful.checkGoodArrayF()=Priithon.useful-module.html#checkGoodArrayF"><a title="Priithon.useful.checkGoodArrayF" class="py-name" href="#" onclick="return doclink('link-95', 'checkGoodArrayF', 'link-95');">checkGoodArrayF</a></tt><tt class="py-op">(</tt><tt class="py-name">outArr</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt class="py-name">inArr</tt><tt class="py-op">.</tt><tt id="link-96" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-96', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">//</tt><tt class="py-name">binY</tt><tt class="py-op">,</tt> <tt class="py-name">inArr</tt><tt class="py-op">.</tt><tt id="link-97" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-97', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">//</tt><tt class="py-name">binX</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L194"></a><tt class="py-lineno"> 194</tt>  <tt class="py-line"> </tt>
<a name="L195"></a><tt class="py-lineno"> 195</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">inArr</tt><tt class="py-op">.</tt><tt id="link-98" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-98', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">isnative</tt><tt class="py-op">:</tt> </tt>
<a name="L196"></a><tt class="py-lineno"> 196</tt>  <tt class="py-line">        <tt class="py-name">inArr</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ascontiguousarray</tt><tt class="py-op">(</tt><tt class="py-name">inArr</tt><tt class="py-op">)</tt> </tt>
<a name="L197"></a><tt class="py-lineno"> 197</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L198"></a><tt class="py-lineno"> 198</tt>  <tt class="py-line">        <tt class="py-name">inArr</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ascontiguousarray</tt><tt class="py-op">(</tt><tt class="py-name">inArr</tt><tt class="py-op">,</tt> <tt class="py-name">inArr</tt><tt class="py-op">.</tt><tt id="link-99" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-99', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">newbyteorder</tt><tt class="py-op">(</tt><tt class="py-string">'='</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L199"></a><tt class="py-lineno"> 199</tt>  <tt class="py-line">    <tt class="py-keyword">import</tt> <tt class="py-name">Priithon_bin</tt><tt class="py-op">.</tt><tt id="link-100" class="py-name" targets="Module Priithon.plt.seb=Priithon.plt.seb-module.html"><a title="Priithon.plt.seb" class="py-name" href="#" onclick="return doclink('link-100', 'seb', 'link-100');">seb</a></tt> <tt class="py-keyword">as</tt> <tt class="py-name">S</tt> </tt>
<a name="L200"></a><tt class="py-lineno"> 200</tt>  <tt class="py-line">    <tt class="py-name">S</tt><tt class="py-op">.</tt><tt id="link-101" class="py-name" targets="Function Priithon.fftfuncs.bin2d()=Priithon.fftfuncs-module.html#bin2d"><a title="Priithon.fftfuncs.bin2d" class="py-name" href="#" onclick="return doclink('link-101', 'bin2d', 'link-101');">bin2d</a></tt><tt class="py-op">(</tt><tt class="py-name">inArr</tt><tt class="py-op">,</tt> <tt class="py-name">outArr</tt><tt class="py-op">,</tt> <tt class="py-name">binX</tt><tt class="py-op">,</tt> <tt class="py-name">binY</tt><tt class="py-op">)</tt> </tt>
</div><a name="L201"></a><tt class="py-lineno"> 201</tt>  <tt class="py-line"> </tt>
<a name="L202"></a><tt class="py-lineno"> 202</tt>  <tt class="py-line"> </tt>
<a name="getXZview"></a><div id="getXZview-def"><a name="L203"></a><tt class="py-lineno"> 203</tt> <a class="py-toggle" href="#" id="getXZview-toggle" onclick="return toggle('getXZview');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getXZview">getXZview</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">zaxis</tt><tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">3</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getXZview-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getXZview-expanded"><a name="L204"></a><tt class="py-lineno"> 204</tt>  <tt class="py-line">    <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt id="link-102" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-102', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt id="link-103" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-103', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-104" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-104', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt> </tt>
<a name="L205"></a><tt class="py-lineno"> 205</tt>  <tt class="py-line">    <tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-name">zaxis</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-name">zaxis</tt><tt class="py-op">]</tt> </tt>
<a name="L206"></a><tt class="py-lineno"> 206</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-105" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-105', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt id="link-106" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-106', 'arr', 'link-59');">arr</a></tt><tt class="py-op">,</tt> <tt class="py-name">s</tt><tt class="py-op">)</tt> </tt>
</div><a name="getYZview"></a><div id="getYZview-def"><a name="L207"></a><tt class="py-lineno"> 207</tt> <a class="py-toggle" href="#" id="getYZview-toggle" onclick="return toggle('getYZview');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getYZview">getYZview</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">zaxis</tt><tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">3</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getYZview-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getYZview-expanded"><a name="L208"></a><tt class="py-lineno"> 208</tt>  <tt class="py-line">    <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt id="link-107" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-107', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt id="link-108" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-108', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-109" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-109', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">)</tt> </tt>
<a name="L209"></a><tt class="py-lineno"> 209</tt>  <tt class="py-line">    <tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-name">zaxis</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-name">zaxis</tt><tt class="py-op">]</tt> </tt>
<a name="L210"></a><tt class="py-lineno"> 210</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-110" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-110', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt id="link-111" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-111', 'arr', 'link-59');">arr</a></tt><tt class="py-op">,</tt> <tt class="py-name">s</tt><tt class="py-op">)</tt> </tt>
</div><a name="L211"></a><tt class="py-lineno"> 211</tt>  <tt class="py-line">     </tt>
<a name="L212"></a><tt class="py-lineno"> 212</tt>  <tt class="py-line"> </tt>
<a name="getHistEqualizedF"></a><div id="getHistEqualizedF-def"><a name="L213"></a><tt class="py-lineno"> 213</tt> <a class="py-toggle" href="#" id="getHistEqualizedF-toggle" onclick="return toggle('getHistEqualizedF');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#getHistEqualizedF">getHistEqualizedF</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">histYX</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">nBins</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="getHistEqualizedF-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="getHistEqualizedF-expanded"><a name="L214"></a><tt class="py-lineno"> 214</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L215"></a><tt class="py-lineno"> 215</tt>  <tt class="py-line"><tt class="py-docstring">    calculate and return the histogram equalized copy of arr </tt> </tt>
<a name="L216"></a><tt class="py-lineno"> 216</tt>  <tt class="py-line"><tt class="py-docstring">        (dtype=float32, min..max = 0..1)</tt> </tt>
<a name="L217"></a><tt class="py-lineno"> 217</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L218"></a><tt class="py-lineno"> 218</tt>  <tt class="py-line"><tt class="py-docstring">    histYX, is the histogram of `a` -- a tuple(binCount, binPixelValue)</tt> </tt>
<a name="L219"></a><tt class="py-lineno"> 219</tt>  <tt class="py-line"><tt class="py-docstring">    if histYX is None:</tt> </tt>
<a name="L220"></a><tt class="py-lineno"> 220</tt>  <tt class="py-line"><tt class="py-docstring">       calculate histogram using nBins bins</tt> </tt>
<a name="L221"></a><tt class="py-lineno"> 221</tt>  <tt class="py-line"><tt class="py-docstring">        if nBins is None:</tt> </tt>
<a name="L222"></a><tt class="py-lineno"> 222</tt>  <tt class="py-line"><tt class="py-docstring">            nBins = int(amax-amin+1)</tt> </tt>
<a name="L223"></a><tt class="py-lineno"> 223</tt>  <tt class="py-line"><tt class="py-docstring">            if arr is of float dtype   and nBins &lt; 1000:</tt> </tt>
<a name="L224"></a><tt class="py-lineno"> 224</tt>  <tt class="py-line"><tt class="py-docstring">                nBins = 1000</tt> </tt>
<a name="L225"></a><tt class="py-lineno"> 225</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L226"></a><tt class="py-lineno"> 226</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt><tt id="link-112" class="py-name"><a title="Priithon.useful" class="py-name" href="#" onclick="return doclink('link-112', 'useful', 'link-94');">useful</a></tt> <tt class="py-keyword">import</tt> <tt id="link-113" class="py-name" targets="Function Priithon.useful.histogramYX()=Priithon.useful-module.html#histogramYX"><a title="Priithon.useful.histogramYX" class="py-name" href="#" onclick="return doclink('link-113', 'histogramYX', 'link-113');">histogramYX</a></tt> </tt>
<a name="L227"></a><tt class="py-lineno"> 227</tt>  <tt class="py-line"> </tt>
<a name="L228"></a><tt class="py-lineno"> 228</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">histYX</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L229"></a><tt class="py-lineno"> 229</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">nBins</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L230"></a><tt class="py-lineno"> 230</tt>  <tt class="py-line">            <tt class="py-name">amin</tt><tt class="py-op">,</tt> <tt class="py-name">amax</tt> <tt class="py-op">=</tt> <tt id="link-114" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-114', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-115" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-115', 'min', 'link-87');">min</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-116" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-116', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-117" class="py-name" targets="Function Priithon.useful.max()=Priithon.useful-module.html#max"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-117', 'max', 'link-117');">max</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L231"></a><tt class="py-lineno"> 231</tt>  <tt class="py-line">            <tt class="py-name">nBins</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">amax</tt><tt class="py-op">-</tt><tt class="py-name">amin</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L232"></a><tt class="py-lineno"> 232</tt>  <tt class="py-line">            <tt class="py-keyword">if</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">issubdtype</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">,</tt> <tt id="link-118" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-118', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-119" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-119', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">and</tt> <tt class="py-name">nBins</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">1000</tt><tt class="py-op">:</tt> </tt>
<a name="L233"></a><tt class="py-lineno"> 233</tt>  <tt class="py-line">                <tt class="py-name">nBins</tt> <tt class="py-op">=</tt> <tt class="py-number">1000</tt> </tt>
<a name="L234"></a><tt class="py-lineno"> 234</tt>  <tt class="py-line">        <tt class="py-name">h</tt><tt class="py-op">,</tt><tt id="link-120" class="py-name" targets="Variable Priithon.viewer.x=Priithon.viewer-module.html#x,Variable Priithon.viewer2.x=Priithon.viewer2-module.html#x,Variable Priithon.viewerCommon.x=Priithon.viewerCommon-module.html#x"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-120', 'x', 'link-120');">x</a></tt> <tt class="py-op">=</tt> <tt id="link-121" class="py-name"><a title="Priithon.useful.histogramYX" class="py-name" href="#" onclick="return doclink('link-121', 'histogramYX', 'link-113');">histogramYX</a></tt><tt class="py-op">(</tt><tt id="link-122" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-122', 'arr', 'link-59');">arr</a></tt><tt class="py-op">,</tt> <tt class="py-name">nBins</tt><tt class="py-op">=</tt><tt class="py-name">nBins</tt><tt class="py-op">)</tt> </tt>
<a name="L235"></a><tt class="py-lineno"> 235</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L236"></a><tt class="py-lineno"> 236</tt>  <tt class="py-line">        <tt class="py-name">h</tt><tt class="py-op">,</tt><tt id="link-123" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-123', 'x', 'link-120');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">histYX</tt> </tt>
<a name="L237"></a><tt class="py-lineno"> 237</tt>  <tt class="py-line"> </tt>
<a name="L238"></a><tt class="py-lineno"> 238</tt>  <tt class="py-line">    <tt class="py-name">hcs</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">cumsum</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">,</tt> <tt id="link-124" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-124', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt> </tt>
<a name="L239"></a><tt class="py-lineno"> 239</tt>  <tt class="py-line">    <tt class="py-name">hcs</tt> <tt class="py-op">/=</tt> <tt class="py-name">hcs</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L240"></a><tt class="py-lineno"> 240</tt>  <tt class="py-line"> </tt>
<a name="L241"></a><tt class="py-lineno"> 241</tt>  <tt class="py-line">    <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt id="link-125" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-125', 'x', 'link-120');">x</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L242"></a><tt class="py-lineno"> 242</tt>  <tt class="py-line">    <tt class="py-name">xRange</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt id="link-126" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-126', 'x', 'link-120');">x</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">xMin</tt> </tt>
<a name="L243"></a><tt class="py-lineno"> 243</tt>  <tt class="py-line">    <tt class="py-name">nBins</tt> <tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">)</tt> </tt>
<a name="L244"></a><tt class="py-lineno"> 244</tt>  <tt class="py-line">    <tt class="py-name">scale</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">nBins</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">xRange</tt> </tt>
<a name="L245"></a><tt class="py-lineno"> 245</tt>  <tt class="py-line">    <tt class="py-name">aHistEq</tt> <tt class="py-op">=</tt> <tt class="py-name">hcs</tt><tt class="py-op">[</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-number">.5</tt><tt class="py-op">+</tt><tt class="py-name">scale</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-127" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-127', 'arr', 'link-59');">arr</a></tt><tt class="py-op">-</tt><tt class="py-name">xMin</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-128" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-128', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int</tt><tt class="py-op">)</tt> <tt class="py-op">]</tt> </tt>
<a name="L246"></a><tt class="py-lineno"> 246</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">aHistEq</tt> </tt>
</div><a name="L247"></a><tt class="py-lineno"> 247</tt>  <tt class="py-line"> </tt>
<a name="L248"></a><tt class="py-lineno"> 248</tt>  <tt class="py-line"><tt class="py-comment">###################################################################</tt> </tt>
<a name="L249"></a><tt class="py-lineno"> 249</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">## generate some arrays</tt> </tt>
<a name="L250"></a><tt class="py-lineno"> 250</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">###################################################################</tt> </tt>
<a name="L251"></a><tt class="py-lineno"> 251</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L252"></a><tt class="py-lineno"> 252</tt>  <tt class="py-line"> </tt>
<a name="radialPhiArr"></a><div id="radialPhiArr-def"><a name="L253"></a><tt class="py-lineno"> 253</tt> <a class="py-toggle" href="#" id="radialPhiArr-toggle" onclick="return toggle('radialPhiArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#radialPhiArr">radialPhiArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">,</tt> <tt class="py-param">func</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="radialPhiArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="radialPhiArr-expanded"><a name="L254"></a><tt class="py-lineno"> 254</tt>  <tt class="py-line">    <tt class="py-docstring">"""generates and returns radially symmetric function sampled in volume(image) of shape shape</tt> </tt>
<a name="L255"></a><tt class="py-lineno"> 255</tt>  <tt class="py-line"><tt class="py-docstring">    if orig is None the origin defaults to the center</tt> </tt>
<a name="L256"></a><tt class="py-lineno"> 256</tt>  <tt class="py-line"><tt class="py-docstring">    func is a 1D function with 2 paramaters: r,phi</tt> </tt>
<a name="L257"></a><tt class="py-lineno"> 257</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L258"></a><tt class="py-lineno"> 258</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L259"></a><tt class="py-lineno"> 259</tt>  <tt class="py-line"><tt class="py-docstring">    dtype is Float32</tt> </tt>
<a name="L260"></a><tt class="py-lineno"> 260</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L261"></a><tt class="py-lineno"> 261</tt>  <tt class="py-line">    <tt id="link-129" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-129', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-130" class="py-name" targets="Function Priithon.fftfuncs._normalize_shape()=Priithon.fftfuncs-module.html#_normalize_shape"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-130', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-131" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-131', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L262"></a><tt class="py-lineno"> 262</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">orig</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L263"></a><tt class="py-lineno"> 263</tt>  <tt class="py-line">        <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-132" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-132', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-133" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-133', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L264"></a><tt class="py-lineno"> 264</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L265"></a><tt class="py-lineno"> 265</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L266"></a><tt class="py-lineno"> 266</tt>  <tt class="py-line">            <tt class="py-name">oo</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L267"></a><tt class="py-lineno"> 267</tt>  <tt class="py-line">            <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-134" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-134', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-135" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-135', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">oo</tt> </tt>
<a name="L268"></a><tt class="py-lineno"> 268</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
<a name="L269"></a><tt class="py-lineno"> 269</tt>  <tt class="py-line">            <tt class="py-keyword">pass</tt> </tt>
<a name="L270"></a><tt class="py-lineno"> 270</tt>  <tt class="py-line">     </tt>
<a name="L271"></a><tt class="py-lineno"> 271</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-136" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-136', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L272"></a><tt class="py-lineno"> 272</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape and orig not same dimension"</tt> </tt>
<a name="L273"></a><tt class="py-lineno"> 273</tt>  <tt class="py-line"> </tt>
<a name="L274"></a><tt class="py-lineno"> 274</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-137" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-137', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L275"></a><tt class="py-lineno"> 275</tt>  <tt class="py-line">        <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L276"></a><tt class="py-lineno"> 276</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-138" class="py-name" targets="Function Priithon.fftfuncs.__fromfunction()=Priithon.fftfuncs-module.html#__fromfunction"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-138', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-139" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-139', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L277"></a><tt class="py-lineno"> 277</tt>  <tt class="py-line">                                             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-140" class="py-name" targets="Variable Priithon.mandel.sqrt=Priithon.mandel-module.html#sqrt,Variable Priithon.plt.interface.sqrt=Priithon.plt.interface-module.html#sqrt,Variable Priithon.plt.plot_objects.sqrt=Priithon.plt.plot_objects-module.html#sqrt,Variable Priithon.plt.plot_utility.sqrt=Priithon.plt.plot_utility-module.html#sqrt,Variable Priithon.plt.sqrt=Priithon.plt-module.html#sqrt,Variable Priithon.plt.wxplt.sqrt=Priithon.plt.wxplt-module.html#sqrt"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-140', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt> \ </tt>
<a name="L278"></a><tt class="py-lineno"> 278</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt id="link-141" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-141', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-142" class="py-name" targets="Variable Priithon.mandel.arctan2=Priithon.mandel-module.html#arctan2,Variable Priithon.plt.arctan2=Priithon.plt-module.html#arctan2,Variable Priithon.plt.interface.arctan2=Priithon.plt.interface-module.html#arctan2,Variable Priithon.plt.plot_objects.arctan2=Priithon.plt.plot_objects-module.html#arctan2,Variable Priithon.plt.plot_utility.arctan2=Priithon.plt.plot_utility-module.html#arctan2,Variable Priithon.plt.wxplt.arctan2=Priithon.plt.wxplt-module.html#arctan2"><a title="Priithon.mandel.arctan2
Priithon.plt.arctan2
Priithon.plt.interface.arctan2
Priithon.plt.plot_objects.arctan2
Priithon.plt.plot_utility.arctan2
Priithon.plt.wxplt.arctan2" class="py-name" href="#" onclick="return doclink('link-142', 'arctan2', 'link-142');">arctan2</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt id="link-143" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-143', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-144" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-144', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-145" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-145', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L279"></a><tt class="py-lineno"> 279</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-146" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-146', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt> </tt>
<a name="L280"></a><tt class="py-lineno"> 280</tt>  <tt class="py-line">        <tt class="py-name">z0</tt><tt class="py-op">,</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L281"></a><tt class="py-lineno"> 281</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-147" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-147', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">z</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-148" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-148', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L282"></a><tt class="py-lineno"> 282</tt>  <tt class="py-line">                                             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-149" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-149', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt> \ </tt>
<a name="L283"></a><tt class="py-lineno"> 283</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt id="link-150" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-150', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">-</tt><tt class="py-name">z0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-151" class="py-name"><a title="Priithon.mandel.arctan2
Priithon.plt.arctan2
Priithon.plt.interface.arctan2
Priithon.plt.plot_objects.arctan2
Priithon.plt.plot_utility.arctan2
Priithon.plt.wxplt.arctan2" class="py-name" href="#" onclick="return doclink('link-151', 'arctan2', 'link-142');">arctan2</a></tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt id="link-152" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-152', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L284"></a><tt class="py-lineno"> 284</tt>  <tt class="py-line">                              <tt id="link-153" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-153', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-154" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-154', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L285"></a><tt class="py-lineno"> 285</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L286"></a><tt class="py-lineno"> 286</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"only defined for 1&lt; dim &lt;= 3"</tt> </tt>
</div><a name="L287"></a><tt class="py-lineno"> 287</tt>  <tt class="py-line"> </tt>
<a name="L288"></a><tt class="py-lineno"> 288</tt>  <tt class="py-line"> </tt>
<a name="radialArr"></a><div id="radialArr-def"><a name="L289"></a><tt class="py-lineno"> 289</tt> <a class="py-toggle" href="#" id="radialArr-toggle" onclick="return toggle('radialArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#radialArr">radialArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">,</tt> <tt class="py-param">func</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt id="link-155" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-155', 'False', 'link-83');">False</a></tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="radialArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="radialArr-expanded"><a name="L290"></a><tt class="py-lineno"> 290</tt>  <tt class="py-line">    <tt class="py-docstring">"""generates and returns radially symmetric function sampled in volume(image) of shape shape</tt> </tt>
<a name="L291"></a><tt class="py-lineno"> 291</tt>  <tt class="py-line"><tt class="py-docstring">    if orig is None the origin defaults to the center</tt> </tt>
<a name="L292"></a><tt class="py-lineno"> 292</tt>  <tt class="py-line"><tt class="py-docstring">    func is a 1D function with 1 paramater: r</tt> </tt>
<a name="L293"></a><tt class="py-lineno"> 293</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L294"></a><tt class="py-lineno"> 294</tt>  <tt class="py-line"><tt class="py-docstring">    if shape is a scalar uses implicitely `(shape,)`</tt> </tt>
<a name="L295"></a><tt class="py-lineno"> 295</tt>  <tt class="py-line"><tt class="py-docstring">    wrap tells if functions is continued wrapping around image boundaries</tt> </tt>
<a name="L296"></a><tt class="py-lineno"> 296</tt>  <tt class="py-line"><tt class="py-docstring">    wrap can be True or False or a tuple same length as shape:</tt> </tt>
<a name="L297"></a><tt class="py-lineno"> 297</tt>  <tt class="py-line"><tt class="py-docstring">       then wrap is given for each axis sperately</tt> </tt>
<a name="L298"></a><tt class="py-lineno"> 298</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L299"></a><tt class="py-lineno"> 299</tt>  <tt class="py-line">    <tt id="link-156" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-156', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-157" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-157', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-158" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-158', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L300"></a><tt class="py-lineno"> 300</tt>  <tt class="py-line">    <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L301"></a><tt class="py-lineno"> 301</tt>  <tt class="py-line">        <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-159" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-159', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L302"></a><tt class="py-lineno"> 302</tt>  <tt class="py-line">    <tt class="py-keyword">except</tt> <tt class="py-name">TypeError</tt><tt class="py-op">:</tt> </tt>
<a name="L303"></a><tt class="py-lineno"> 303</tt>  <tt class="py-line">        <tt id="link-160" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-160', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-161" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-161', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L304"></a><tt class="py-lineno"> 304</tt>  <tt class="py-line"> </tt>
<a name="L305"></a><tt class="py-lineno"> 305</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">orig</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L306"></a><tt class="py-lineno"> 306</tt>  <tt class="py-line">        <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-162" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-162', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-163" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-163', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L307"></a><tt class="py-lineno"> 307</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L308"></a><tt class="py-lineno"> 308</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L309"></a><tt class="py-lineno"> 309</tt>  <tt class="py-line">            <tt class="py-name">oo</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L310"></a><tt class="py-lineno"> 310</tt>  <tt class="py-line">            <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-164" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-164', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-165" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-165', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">oo</tt> </tt>
<a name="L311"></a><tt class="py-lineno"> 311</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
<a name="L312"></a><tt class="py-lineno"> 312</tt>  <tt class="py-line">            <tt class="py-keyword">pass</tt> </tt>
<a name="L313"></a><tt class="py-lineno"> 313</tt>  <tt class="py-line">                 </tt>
<a name="L314"></a><tt class="py-lineno"> 314</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-166" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-166', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L315"></a><tt class="py-lineno"> 315</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape and orig not same dimension"</tt> </tt>
<a name="L316"></a><tt class="py-lineno"> 316</tt>  <tt class="py-line"> </tt>
<a name="L317"></a><tt class="py-lineno"> 317</tt>  <tt class="py-line">    <tt class="py-keyword">try</tt><tt class="py-op">:</tt>  </tt>
<a name="L318"></a><tt class="py-lineno"> 318</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-167" class="py-name" targets="Function Priithon.py.PyWrap.wrap()=Priithon.py.PyWrap-module.html#wrap,Method Priithon.py.shell.Shell.wrap()=Priithon.py.shell.Shell-class.html#wrap"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-167', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-168" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-168', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L319"></a><tt class="py-lineno"> 319</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"wrap tuple must be same length as shape"</tt> </tt>
<a name="L320"></a><tt class="py-lineno"> 320</tt>  <tt class="py-line">    <tt class="py-keyword">except</tt> <tt class="py-name">TypeError</tt><tt class="py-op">:</tt> </tt>
<a name="L321"></a><tt class="py-lineno"> 321</tt>  <tt class="py-line">        <tt id="link-169" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-169', 'wrap', 'link-167');">wrap</a></tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-170" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-170', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-171" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-171', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L322"></a><tt class="py-lineno"> 322</tt>  <tt class="py-line"> </tt>
<a name="L323"></a><tt class="py-lineno"> 323</tt>  <tt class="py-line">    <tt class="py-keyword">def</tt> <tt class="py-def-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-param">ax</tt><tt class="py-op">,</tt> <tt class="py-param">q</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L324"></a><tt class="py-lineno"> 324</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt id="link-172" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-172', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">[</tt><tt class="py-name">ax</tt><tt class="py-op">]</tt><tt class="py-op">:</tt> </tt>
<a name="L325"></a><tt class="py-lineno"> 325</tt>  <tt class="py-line">            <tt class="py-name">nq</tt> <tt class="py-op">=</tt> <tt id="link-173" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-173', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-name">ax</tt><tt class="py-op">]</tt> </tt>
<a name="L326"></a><tt class="py-lineno"> 326</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">q</tt><tt class="py-op">&gt;</tt><tt class="py-name">nq</tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-name">q</tt><tt class="py-op">-</tt><tt class="py-name">nq</tt><tt class="py-op">,</tt> <tt class="py-name">q</tt><tt class="py-op">)</tt> </tt>
<a name="L327"></a><tt class="py-lineno"> 327</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L328"></a><tt class="py-lineno"> 328</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">q</tt> </tt>
</div><a name="L329"></a><tt class="py-lineno"> 329</tt>  <tt class="py-line"> </tt>
<a name="L330"></a><tt class="py-lineno"> 330</tt>  <tt class="py-line"><tt class="py-comment">#     if wrap:</tt> </tt>
<a name="L331"></a><tt class="py-lineno"> 331</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         def wrapIt(q, nq):</tt> </tt>
<a name="L332"></a><tt class="py-lineno"> 332</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#             return N.where(q&gt;nq/2,q-nq, q)</tt> </tt>
<a name="L333"></a><tt class="py-lineno"> 333</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#     else:</tt> </tt>
<a name="L334"></a><tt class="py-lineno"> 334</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         def wrapIt(q, nq):</tt> </tt>
<a name="L335"></a><tt class="py-lineno"> 335</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#             return q</tt> </tt>
<a name="L336"></a><tt class="py-lineno"> 336</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L337"></a><tt class="py-lineno"> 337</tt>  <tt class="py-line"><tt class="py-comment">#     if len(shape) == 1:</tt> </tt>
<a name="L338"></a><tt class="py-lineno"> 338</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         x0 = orig[0] # 20060606: [0] prevents orig (as array) promoting its dtype (e.g. Float64) into result</tt> </tt>
<a name="L339"></a><tt class="py-lineno"> 339</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         nx = shape[0]</tt> </tt>
<a name="L340"></a><tt class="py-lineno"> 340</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         return __fromfunction(lambda x: func(wrapIt(N.absolute(x-x0),nx)), shape, dtype)</tt> </tt>
<a name="L341"></a><tt class="py-lineno"> 341</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#     elif len(shape) == 2:</tt> </tt>
<a name="L342"></a><tt class="py-lineno"> 342</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         y0,x0 = orig</tt> </tt>
<a name="L343"></a><tt class="py-lineno"> 343</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         ny,nx=shape</tt> </tt>
<a name="L344"></a><tt class="py-lineno"> 344</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         return __fromfunction(lambda y,x: func(</tt> </tt>
<a name="L345"></a><tt class="py-lineno"> 345</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#                                              N.sqrt( \</tt> </tt>
<a name="L346"></a><tt class="py-lineno"> 346</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#             (wrapIt((x-x0),nx))**2 + (wrapIt((y-y0),ny))**2 ) ), shape, dtype)</tt> </tt>
<a name="L347"></a><tt class="py-lineno"> 347</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#     elif len(shape) == 3:</tt> </tt>
<a name="L348"></a><tt class="py-lineno"> 348</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         z0,y0,x0 = orig</tt> </tt>
<a name="L349"></a><tt class="py-lineno"> 349</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         nz,ny,nx=shape</tt> </tt>
<a name="L350"></a><tt class="py-lineno"> 350</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         return __fromfunction(lambda z,y,x: func(</tt> </tt>
<a name="L351"></a><tt class="py-lineno"> 351</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#                                              N.sqrt( \</tt> </tt>
<a name="L352"></a><tt class="py-lineno"> 352</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#             (wrapIt((x-x0),nx))**2 + (wrapIt((y-y0),ny))**2 + (wrapIt((z-z0),nz))**2 ) ), shape, dtype)</tt> </tt>
<a name="L353"></a><tt class="py-lineno"> 353</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-174" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-174', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L354"></a><tt class="py-lineno"> 354</tt>  <tt class="py-line">        <tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-comment"># 20060606: [0] prevents orig (as array) promoting its dtype (e.g. Float64) into result</tt> </tt>
<a name="L355"></a><tt class="py-lineno"> 355</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-175" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-175', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt id="link-176" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-176', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-177" class="py-name" targets="Variable Priithon.mandel.absolute=Priithon.mandel-module.html#absolute,Variable Priithon.plt.absolute=Priithon.plt-module.html#absolute,Variable Priithon.plt.interface.absolute=Priithon.plt.interface-module.html#absolute,Variable Priithon.plt.plot_objects.absolute=Priithon.plt.plot_objects-module.html#absolute,Variable Priithon.plt.plot_utility.absolute=Priithon.plt.plot_utility-module.html#absolute,Variable Priithon.plt.wxplt.absolute=Priithon.plt.wxplt-module.html#absolute"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-177', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt id="link-178" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-178', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-179" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-179', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-180" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-180', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L356"></a><tt class="py-lineno"> 356</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-181" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-181', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L357"></a><tt class="py-lineno"> 357</tt>  <tt class="py-line">        <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L358"></a><tt class="py-lineno"> 358</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-182" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-182', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-183" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-183', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L359"></a><tt class="py-lineno"> 359</tt>  <tt class="py-line">                                             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-184" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-184', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt> \ </tt>
<a name="L360"></a><tt class="py-lineno"> 360</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt id="link-185" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-185', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-186" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-186', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-187" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-187', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L361"></a><tt class="py-lineno"> 361</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-188" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-188', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt> </tt>
<a name="L362"></a><tt class="py-lineno"> 362</tt>  <tt class="py-line">        <tt class="py-name">z0</tt><tt class="py-op">,</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L363"></a><tt class="py-lineno"> 363</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-189" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-189', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">z</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-190" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-190', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L364"></a><tt class="py-lineno"> 364</tt>  <tt class="py-line">                                             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-191" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-191', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt> \ </tt>
<a name="L365"></a><tt class="py-lineno"> 365</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt id="link-192" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-192', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">3</tt><tt class="py-op">,</tt><tt class="py-name">z</tt><tt class="py-op">-</tt><tt class="py-name">z0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-193" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-193', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-194" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-194', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L366"></a><tt class="py-lineno"> 366</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L367"></a><tt class="py-lineno"> 367</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"only defined for dim &lt; 3 (TODO)"</tt> </tt>
</div><a name="L368"></a><tt class="py-lineno"> 368</tt>  <tt class="py-line"> </tt>
<a name="maxNormRadialArr"></a><div id="maxNormRadialArr-def"><a name="L369"></a><tt class="py-lineno"> 369</tt> <a class="py-toggle" href="#" id="maxNormRadialArr-toggle" onclick="return toggle('maxNormRadialArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#maxNormRadialArr">maxNormRadialArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">,</tt> <tt class="py-param">func</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="maxNormRadialArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="maxNormRadialArr-expanded"><a name="L370"></a><tt class="py-lineno"> 370</tt>  <tt class="py-line">    <tt class="py-docstring">"""like radialArr but instead of using euclidian distance to determine r</tt> </tt>
<a name="L371"></a><tt class="py-lineno"> 371</tt>  <tt class="py-line"><tt class="py-docstring">       (r = (dx**2 + dy**2) **.5)</tt> </tt>
<a name="L372"></a><tt class="py-lineno"> 372</tt>  <tt class="py-line"><tt class="py-docstring">       this using the a maximum funtion:</tt> </tt>
<a name="L373"></a><tt class="py-lineno"> 373</tt>  <tt class="py-line"><tt class="py-docstring">      r = max(dx,dy)</tt> </tt>
<a name="L374"></a><tt class="py-lineno"> 374</tt>  <tt class="py-line"><tt class="py-docstring">       """</tt> </tt>
<a name="L375"></a><tt class="py-lineno"> 375</tt>  <tt class="py-line">    <tt id="link-195" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-195', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-196" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-196', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-197" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-197', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L376"></a><tt class="py-lineno"> 376</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">orig</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L377"></a><tt class="py-lineno"> 377</tt>  <tt class="py-line">        <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-198" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-198', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-199" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-199', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L378"></a><tt class="py-lineno"> 378</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L379"></a><tt class="py-lineno"> 379</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L380"></a><tt class="py-lineno"> 380</tt>  <tt class="py-line">            <tt class="py-name">oo</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L381"></a><tt class="py-lineno"> 381</tt>  <tt class="py-line">            <tt class="py-name">orig</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-200" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-200', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-201" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-201', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">oo</tt> </tt>
<a name="L382"></a><tt class="py-lineno"> 382</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
<a name="L383"></a><tt class="py-lineno"> 383</tt>  <tt class="py-line">            <tt class="py-keyword">pass</tt> </tt>
<a name="L384"></a><tt class="py-lineno"> 384</tt>  <tt class="py-line">     </tt>
<a name="L385"></a><tt class="py-lineno"> 385</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-202" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-202', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">orig</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L386"></a><tt class="py-lineno"> 386</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape and orig not same dimension"</tt> </tt>
<a name="L387"></a><tt class="py-lineno"> 387</tt>  <tt class="py-line"> </tt>
<a name="L388"></a><tt class="py-lineno"> 388</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-203" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-203', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">:</tt> </tt>
<a name="L389"></a><tt class="py-lineno"> 389</tt>  <tt class="py-line">        <tt class="py-keyword">def</tt> <tt class="py-def-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-param">q</tt><tt class="py-op">,</tt> <tt class="py-param">nq</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L390"></a><tt class="py-lineno"> 390</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">q</tt><tt class="py-op">&gt;</tt><tt class="py-name">nq</tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-name">q</tt><tt class="py-op">-</tt><tt class="py-name">nq</tt><tt class="py-op">,</tt> <tt class="py-name">q</tt><tt class="py-op">)</tt> </tt>
</div><a name="L391"></a><tt class="py-lineno"> 391</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L392"></a><tt class="py-lineno"> 392</tt>  <tt class="py-line">        <tt class="py-keyword">def</tt> <tt class="py-def-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-param">q</tt><tt class="py-op">,</tt> <tt class="py-param">nq</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L393"></a><tt class="py-lineno"> 393</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">q</tt> </tt>
</div><a name="L394"></a><tt class="py-lineno"> 394</tt>  <tt class="py-line"> </tt>
<a name="L395"></a><tt class="py-lineno"> 395</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-204" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-204', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L396"></a><tt class="py-lineno"> 396</tt>  <tt class="py-line">        <tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-comment"># 20060606: [0] prevents orig (as array) promoting its dtype (e.g. Float64) into result</tt> </tt>
<a name="L397"></a><tt class="py-lineno"> 397</tt>  <tt class="py-line">        <tt class="py-name">nx</tt> <tt class="py-op">=</tt> <tt id="link-205" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-205', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L398"></a><tt class="py-lineno"> 398</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-206" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-206', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt id="link-207" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-207', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-208" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-208', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt id="link-209" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-209', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-210" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-210', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-211" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-211', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L399"></a><tt class="py-lineno"> 399</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-212" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-212', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L400"></a><tt class="py-lineno"> 400</tt>  <tt class="py-line">        <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L401"></a><tt class="py-lineno"> 401</tt>  <tt class="py-line">        <tt class="py-name">ny</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">=</tt><tt id="link-213" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-213', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L402"></a><tt class="py-lineno"> 402</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-214" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-214', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-215" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-215', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L403"></a><tt class="py-lineno"> 403</tt>  <tt class="py-line">                                             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-216" class="py-name" targets="Variable Priithon.mandel.maximum=Priithon.mandel-module.html#maximum,Variable Priithon.plt.interface.maximum=Priithon.plt.interface-module.html#maximum,Variable Priithon.plt.maximum=Priithon.plt-module.html#maximum,Variable Priithon.plt.plot_objects.maximum=Priithon.plt.plot_objects-module.html#maximum,Variable Priithon.plt.plot_utility.maximum=Priithon.plt.plot_utility-module.html#maximum,Variable Priithon.plt.wxplt.maximum=Priithon.plt.wxplt-module.html#maximum"><a title="Priithon.mandel.maximum
Priithon.plt.interface.maximum
Priithon.plt.maximum
Priithon.plt.plot_objects.maximum
Priithon.plt.plot_utility.maximum
Priithon.plt.wxplt.maximum" class="py-name" href="#" onclick="return doclink('link-216', 'maximum', 'link-216');">maximum</a></tt><tt class="py-op">(</tt> \ </tt>
<a name="L404"></a><tt class="py-lineno"> 404</tt>  <tt class="py-line">            <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-217" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-217', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt id="link-218" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-218', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-219" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-219', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">ny</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-220" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-220', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-221" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-221', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L405"></a><tt class="py-lineno"> 405</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-222" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-222', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt> </tt>
<a name="L406"></a><tt class="py-lineno"> 406</tt>  <tt class="py-line">        <tt class="py-name">z0</tt><tt class="py-op">,</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">orig</tt> </tt>
<a name="L407"></a><tt class="py-lineno"> 407</tt>  <tt class="py-line">        <tt class="py-name">nz</tt><tt class="py-op">,</tt><tt class="py-name">ny</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">=</tt><tt id="link-223" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-223', 'shape', 'link-6');">shape</a></tt>       </tt>
<a name="L408"></a><tt class="py-lineno"> 408</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-224" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-224', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">z</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-225" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-225', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">func</tt><tt class="py-op">(</tt> </tt>
<a name="L409"></a><tt class="py-lineno"> 409</tt>  <tt class="py-line">             <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-226" class="py-name"><a title="Priithon.mandel.maximum
Priithon.plt.interface.maximum
Priithon.plt.maximum
Priithon.plt.plot_objects.maximum
Priithon.plt.plot_utility.maximum
Priithon.plt.wxplt.maximum" class="py-name" href="#" onclick="return doclink('link-226', 'maximum', 'link-216');">maximum</a></tt><tt class="py-op">.</tt><tt class="py-name">reduce</tt><tt class="py-op">(</tt>  \ </tt>
<a name="L410"></a><tt class="py-lineno"> 410</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-227" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-227', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt id="link-228" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-228', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-229" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-229', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">-</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">ny</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-230" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-230', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">wrapIt</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">-</tt><tt class="py-name">z0</tt><tt class="py-op">,</tt><tt class="py-name">nz</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-231" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-231', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-232" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-232', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L411"></a><tt class="py-lineno"> 411</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L412"></a><tt class="py-lineno"> 412</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"only defined for dim &lt; 3 (TODO)"</tt> </tt>
</div><a name="L413"></a><tt class="py-lineno"> 413</tt>  <tt class="py-line"> </tt>
<a name="L414"></a><tt class="py-lineno"> 414</tt>  <tt class="py-line"> </tt>
<a name="L415"></a><tt class="py-lineno"> 415</tt>  <tt class="py-line"> </tt>
<a name="L416"></a><tt class="py-lineno"> 416</tt>  <tt class="py-line"> </tt>
<a name="L417"></a><tt class="py-lineno"> 417</tt>  <tt class="py-line"><tt class="py-comment">###### Mexican Hat ###########</tt> </tt>
<a name="L418"></a><tt class="py-lineno"> 418</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L419"></a><tt class="py-lineno"> 419</tt>  <tt class="py-line"> </tt>
<a name="L420"></a><tt class="py-lineno"> 420</tt>  <tt class="py-line"><tt id="link-233" class="py-name" targets="Variable Priithon.fftfuncs._mexhatNorm=Priithon.fftfuncs-module.html#_mexhatNorm"><a title="Priithon.fftfuncs._mexhatNorm" class="py-name" href="#" onclick="return doclink('link-233', '_mexhatNorm', 'link-233');">_mexhatNorm</a></tt> <tt class="py-op">=</tt> <tt class="py-number">2.</tt><tt class="py-op">/</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-234" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-234', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-number">3.</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-235" class="py-name" targets="Variable Priithon.mandel.pi=Priithon.mandel-module.html#pi,Variable Priithon.plt.interface.pi=Priithon.plt.interface-module.html#pi,Variable Priithon.plt.pi=Priithon.plt-module.html#pi,Variable Priithon.plt.plot_objects.pi=Priithon.plt.plot_objects-module.html#pi,Variable Priithon.plt.plot_utility.pi=Priithon.plt.plot_utility-module.html#pi,Variable Priithon.plt.wxplt.pi=Priithon.plt.wxplt-module.html#pi"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-235', 'pi', 'link-235');">pi</a></tt> <tt class="py-op">**</tt> <tt class="py-op">-</tt><tt class="py-number">.25</tt> </tt>
<a name="L421"></a><tt class="py-lineno"> 421</tt>  <tt class="py-line"> </tt>
<a name="mexhat"></a><div id="mexhat-def"><a name="L422"></a><tt class="py-lineno"> 422</tt> <a class="py-toggle" href="#" id="mexhat-toggle" onclick="return toggle('mexhat');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#mexhat">mexhat</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="mexhat-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="mexhat-expanded"><a name="L423"></a><tt class="py-lineno"> 423</tt>  <tt class="py-line">    <tt class="py-docstring">"""use LoG instead for proper scaling and normalization in dim&gt;1"""</tt> </tt>
<a name="L424"></a><tt class="py-lineno"> 424</tt>  <tt class="py-line">    <tt class="py-keyword">global</tt> <tt id="link-236" class="py-name"><a title="Priithon.fftfuncs._mexhatNorm" class="py-name" href="#" onclick="return doclink('link-236', '_mexhatNorm', 'link-233');">_mexhatNorm</a></tt> </tt>
<a name="L425"></a><tt class="py-lineno"> 425</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-237" class="py-name"><a title="Priithon.fftfuncs._mexhatNorm" class="py-name" href="#" onclick="return doclink('link-237', '_mexhatNorm', 'link-233');">_mexhatNorm</a></tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">dim</tt><tt class="py-op">-</tt><tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-238" class="py-name" targets="Variable Priithon.mandel.exp=Priithon.mandel-module.html#exp,Variable Priithon.plt.exp=Priithon.plt-module.html#exp,Variable Priithon.plt.interface.exp=Priithon.plt.interface-module.html#exp,Variable Priithon.plt.plot_objects.exp=Priithon.plt.plot_objects-module.html#exp,Variable Priithon.plt.plot_utility.exp=Priithon.plt.plot_utility-module.html#exp,Variable Priithon.plt.wxplt.exp=Priithon.plt.wxplt-module.html#exp"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-238', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-number">.5</tt><tt class="py-op">)</tt> </tt>
</div><a name="L426"></a><tt class="py-lineno"> 426</tt>  <tt class="py-line"> </tt>
<a name="LoG"></a><div id="LoG-def"><a name="L427"></a><tt class="py-lineno"> 427</tt> <a class="py-toggle" href="#" id="LoG-toggle" onclick="return toggle('LoG');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#LoG">LoG</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">,</tt><tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">r0</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LoG-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="LoG-expanded"><a name="L428"></a><tt class="py-lineno"> 428</tt>  <tt class="py-line">    <tt class="py-docstring">"""note:</tt> </tt>
<a name="L429"></a><tt class="py-lineno"> 429</tt>  <tt class="py-line"><tt class="py-docstring">         returns *negative* Laplacian-of-Gaussian (aka. mexican hat)</tt> </tt>
<a name="L430"></a><tt class="py-lineno"> 430</tt>  <tt class="py-line"><tt class="py-docstring">         zero-point will be at sqrt(dim)*sigma</tt> </tt>
<a name="L431"></a><tt class="py-lineno"> 431</tt>  <tt class="py-line"><tt class="py-docstring">         integral is _always_ 0</tt> </tt>
<a name="L432"></a><tt class="py-lineno"> 432</tt>  <tt class="py-line"><tt class="py-docstring">         if peakVal is None:  uses "mathematical" "gaussian derived" norm</tt> </tt>
<a name="L433"></a><tt class="py-lineno"> 433</tt>  <tt class="py-line"><tt class="py-docstring">         if r0 is not None: specify radius of zero-point (IGNORE sigma !!)</tt> </tt>
<a name="L434"></a><tt class="py-lineno"> 434</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L435"></a><tt class="py-lineno"> 435</tt>  <tt class="py-line">    <tt class="py-name">r2</tt> <tt class="py-op">=</tt> <tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
<a name="L436"></a><tt class="py-lineno"> 436</tt>  <tt class="py-line"> </tt>
<a name="L437"></a><tt class="py-lineno"> 437</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">sigma</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L438"></a><tt class="py-lineno"> 438</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">r0</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L439"></a><tt class="py-lineno"> 439</tt>  <tt class="py-line">            <tt class="py-name">sigma</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">r0</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-239" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-239', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-name">dim</tt><tt class="py-op">)</tt> </tt>
<a name="L440"></a><tt class="py-lineno"> 440</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L441"></a><tt class="py-lineno"> 441</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"One of sigma or r0 have to be non-None"</tt> </tt>
<a name="L442"></a><tt class="py-lineno"> 442</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L443"></a><tt class="py-lineno"> 443</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">r0</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L444"></a><tt class="py-lineno"> 444</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"Only one of sigma or r0 can be non-None"</tt> </tt>
<a name="L445"></a><tt class="py-lineno"> 445</tt>  <tt class="py-line">    <tt class="py-name">s2</tt> <tt class="py-op">=</tt> <tt class="py-name">sigma</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
<a name="L446"></a><tt class="py-lineno"> 446</tt>  <tt class="py-line">    <tt class="py-name">dsd</tt> <tt class="py-op">=</tt> <tt class="py-name">dim</tt><tt class="py-op">*</tt><tt class="py-name">sigma</tt><tt class="py-op">**</tt><tt class="py-name">dim</tt> </tt>
<a name="L447"></a><tt class="py-lineno"> 447</tt>  <tt class="py-line"> </tt>
<a name="L448"></a><tt class="py-lineno"> 448</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">peakVal</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L449"></a><tt class="py-lineno"> 449</tt>  <tt class="py-line">        <tt id="link-240" class="py-name" targets="Function Priithon.useful.norm()=Priithon.useful-module.html#norm"><a title="Priithon.useful.norm" class="py-name" href="#" onclick="return doclink('link-240', 'norm', 'link-240');">norm</a></tt> <tt class="py-op">=</tt> <tt class="py-name">peakVal</tt> <tt class="py-op">/</tt> <tt class="py-name">dsd</tt> </tt>
<a name="L450"></a><tt class="py-lineno"> 450</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L451"></a><tt class="py-lineno"> 451</tt>  <tt class="py-line">        <tt id="link-241" class="py-name"><a title="Priithon.useful.norm" class="py-name" href="#" onclick="return doclink('link-241', 'norm', 'link-240');">norm</a></tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">s2</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-242" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-242', 'pi', 'link-235');">pi</a></tt> <tt class="py-op">*</tt> <tt class="py-name">sigma</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-op">(</tt><tt class="py-name">dim</tt><tt class="py-op">/</tt><tt class="py-number">2.</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L452"></a><tt class="py-lineno"> 452</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-243" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-243', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">r2</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">s2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">dsd</tt> <tt class="py-op">-</tt> <tt class="py-name">r2</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt id="link-244" class="py-name"><a title="Priithon.useful.norm" class="py-name" href="#" onclick="return doclink('link-244', 'norm', 'link-240');">norm</a></tt> </tt>
</div><a name="L453"></a><tt class="py-lineno"> 453</tt>  <tt class="py-line"> </tt>
<a name="L454"></a><tt class="py-lineno"> 454</tt>  <tt class="py-line"><tt class="py-comment">###### Mexican Hat ###########</tt> </tt>
<a name="L455"></a><tt class="py-lineno"> 455</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="LoGArr"></a><div id="LoGArr-def"><a name="L456"></a><tt class="py-lineno"> 456</tt> <a class="py-toggle" href="#" id="LoGArr-toggle" onclick="return toggle('LoGArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#LoGArr">LoGArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-245" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-245', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">r0</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LoGArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="LoGArr-expanded"><a name="L457"></a><tt class="py-lineno"> 457</tt>  <tt class="py-line">    <tt class="py-docstring">"""returns n-dim Laplacian-of-Gaussian (aka. mexican hat)</tt> </tt>
<a name="L458"></a><tt class="py-lineno"> 458</tt>  <tt class="py-line"><tt class="py-docstring">    if peakVal   is not None</tt> </tt>
<a name="L459"></a><tt class="py-lineno"> 459</tt>  <tt class="py-line"><tt class="py-docstring">         result max is peakVal</tt> </tt>
<a name="L460"></a><tt class="py-lineno"> 460</tt>  <tt class="py-line"><tt class="py-docstring">    if r0 is not None: specify radius of zero-point (IGNORE sigma !!)</tt> </tt>
<a name="L461"></a><tt class="py-lineno"> 461</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L462"></a><tt class="py-lineno"> 462</tt>  <tt class="py-line">    <tt id="link-246" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-246', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-247" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-247', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-248" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-248', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L463"></a><tt class="py-lineno"> 463</tt>  <tt class="py-line">    <tt class="py-name">dim</tt><tt class="py-op">=</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-249" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-249', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L464"></a><tt class="py-lineno"> 464</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-250" class="py-name" targets="Function Priithon.fftfuncs.radialArr()=Priithon.fftfuncs-module.html#radialArr"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-250', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-251" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-251', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L465"></a><tt class="py-lineno"> 465</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt id="link-252" class="py-name" targets="Function Priithon.fftfuncs.LoG()=Priithon.fftfuncs-module.html#LoG"><a title="Priithon.fftfuncs.LoG" class="py-name" href="#" onclick="return doclink('link-252', 'LoG', 'link-252');">LoG</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">sigma</tt><tt class="py-op">=</tt><tt class="py-name">sigma</tt><tt class="py-op">,</tt><tt class="py-name">dim</tt><tt class="py-op">=</tt><tt class="py-name">dim</tt><tt class="py-op">,</tt><tt class="py-name">r0</tt><tt class="py-op">=</tt><tt class="py-name">r0</tt><tt class="py-op">,</tt><tt class="py-name">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">peakVal</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L466"></a><tt class="py-lineno"> 466</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-253" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-253', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-254" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-254', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="cone"></a><div id="cone-def"><a name="L467"></a><tt class="py-lineno"> 467</tt> <a class="py-toggle" href="#" id="cone-toggle" onclick="return toggle('cone');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#cone">cone</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">Yscale</tt><tt class="py-op">=</tt><tt class="py-number">1.</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="cone-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="cone-expanded"><a name="L468"></a><tt class="py-lineno"> 468</tt>  <tt class="py-line">    <tt id="link-255" class="py-name" targets="Method Priithon.plt.plot_utility.box_object.top()=Priithon.plt.plot_utility.box_object-class.html#top"><a title="Priithon.plt.plot_utility.box_object.top" class="py-name" href="#" onclick="return doclink('link-255', 'top', 'link-255');">top</a></tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> </tt>
<a name="L469"></a><tt class="py-lineno"> 469</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt id="link-256" class="py-name"><a title="Priithon.plt.plot_utility.box_object.top" class="py-name" href="#" onclick="return doclink('link-256', 'top', 'link-255');">top</a></tt> <tt class="py-op">-</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-257" class="py-name"><a title="Priithon.mandel.absolute
Priithon.plt.absolute
Priithon.plt.interface.absolute
Priithon.plt.plot_objects.absolute
Priithon.plt.plot_utility.absolute
Priithon.plt.wxplt.absolute" class="py-name" href="#" onclick="return doclink('link-257', 'absolute', 'link-177');">absolute</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> </tt>
<a name="L470"></a><tt class="py-lineno"> 470</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">&lt;</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-name">a</tt> <tt class="py-op">*</tt> <tt class="py-name">Yscale</tt> <tt class="py-op">)</tt> </tt>
</div><a name="L471"></a><tt class="py-lineno"> 471</tt>  <tt class="py-line"> </tt>
<a name="L472"></a><tt class="py-lineno"> 472</tt>  <tt class="py-line"> </tt>
<a name="coneArr"></a><div id="coneArr-def"><a name="L473"></a><tt class="py-lineno"> 473</tt> <a class="py-toggle" href="#" id="coneArr-toggle" onclick="return toggle('coneArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#coneArr">coneArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-258" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-258', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">integralScale</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="coneArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="coneArr-expanded"><a name="L474"></a><tt class="py-lineno"> 474</tt>  <tt class="py-line">    <tt id="link-259" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-259', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-260" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-260', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-261" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-261', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L475"></a><tt class="py-lineno"> 475</tt>  <tt class="py-line">    <tt class="py-name">d</tt><tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-262" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-262', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L476"></a><tt class="py-lineno"> 476</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">d</tt> <tt class="py-op">==</tt><tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L477"></a><tt class="py-lineno"> 477</tt>  <tt class="py-line">        <tt class="py-name">V</tt> <tt class="py-op">=</tt> <tt class="py-name">radius</tt> </tt>
<a name="L478"></a><tt class="py-lineno"> 478</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L479"></a><tt class="py-lineno"> 479</tt>  <tt class="py-line">        <tt class="py-name">V</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-263" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-263', 'pi', 'link-235');">pi</a></tt> <tt class="py-op">*</tt> <tt class="py-name">radius</tt> <tt class="py-op">**</tt><tt class="py-name">d</tt> <tt class="py-op">/</tt> <tt class="py-number">3.</tt> </tt>
<a name="L480"></a><tt class="py-lineno"> 480</tt>  <tt class="py-line">        <tt class="py-comment"># CHECK:  raise "todo: coneArr for dimension &gt; 3"</tt> </tt>
<a name="L481"></a><tt class="py-lineno"> 481</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">return</tt> <tt id="link-264" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-264', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-265" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-265', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt>  </tt>
<a name="L482"></a><tt class="py-lineno"> 482</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt id="link-266" class="py-name" targets="Function Priithon.fftfuncs.cone()=Priithon.fftfuncs-module.html#cone"><a title="Priithon.fftfuncs.cone" class="py-name" href="#" onclick="return doclink('link-266', 'cone', 'link-266');">cone</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">d</tt><tt class="py-op">,</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">V</tt> <tt class="py-op">*</tt> <tt class="py-name">integralScale</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L483"></a><tt class="py-lineno"> 483</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-267" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-267', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-268" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-268', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L484"></a><tt class="py-lineno"> 484</tt>  <tt class="py-line"> </tt>
<a name="discArr"></a><div id="discArr-def"><a name="L485"></a><tt class="py-lineno"> 485</tt> <a class="py-toggle" href="#" id="discArr-toggle" onclick="return toggle('discArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#discArr">discArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-269" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-269', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">valIn</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">valOut</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="discArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="discArr-expanded"><a name="L486"></a><tt class="py-lineno"> 486</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-270" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-270', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-271" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-271', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L487"></a><tt class="py-lineno"> 487</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">valIn</tt><tt class="py-op">,</tt> <tt class="py-name">valOut</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L488"></a><tt class="py-lineno"> 488</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-272" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-272', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-273" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-273', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L489"></a><tt class="py-lineno"> 489</tt>  <tt class="py-line"> </tt>
<a name="ringArr"></a><div id="ringArr-def"><a name="L490"></a><tt class="py-lineno"> 490</tt> <a class="py-toggle" href="#" id="ringArr-toggle" onclick="return toggle('ringArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#ringArr">ringArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-274" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-274', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius1</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">,</tt> <tt class="py-param">radius2</tt><tt class="py-op">=</tt><tt class="py-number">40</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ringArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="ringArr-expanded"><a name="L491"></a><tt class="py-lineno"> 491</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt id="link-275" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-275', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-276" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-276', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L492"></a><tt class="py-lineno"> 492</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius1</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L493"></a><tt class="py-lineno"> 493</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-277" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-277', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-278" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-278', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L494"></a><tt class="py-lineno"> 494</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt> <tt class="py-name">a</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">radius2</tt> <tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L495"></a><tt class="py-lineno"> 495</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt> <tt class="py-name">a</tt> <tt class="py-op">&gt;</tt> <tt class="py-number">0</tt> <tt class="py-op">]</tt>       <tt class="py-op">=</tt> <tt class="py-number">1</tt> </tt>
<a name="L496"></a><tt class="py-lineno"> 496</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L497"></a><tt class="py-lineno"> 497</tt>  <tt class="py-line"> </tt>
<a name="L498"></a><tt class="py-lineno"> 498</tt>  <tt class="py-line"> </tt>
<a name="squareArr"></a><div id="squareArr-def"><a name="L499"></a><tt class="py-lineno"> 499</tt> <a class="py-toggle" href="#" id="squareArr-toggle" onclick="return toggle('squareArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#squareArr">squareArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-279" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-279', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">valIn</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">valOut</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="squareArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="squareArr-expanded"><a name="L500"></a><tt class="py-lineno"> 500</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-280" class="py-name" targets="Function Priithon.fftfuncs.maxNormRadialArr()=Priithon.fftfuncs-module.html#maxNormRadialArr"><a title="Priithon.fftfuncs.maxNormRadialArr" class="py-name" href="#" onclick="return doclink('link-280', 'maxNormRadialArr', 'link-280');">maxNormRadialArr</a></tt><tt class="py-op">(</tt><tt id="link-281" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-281', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L501"></a><tt class="py-lineno"> 501</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">valIn</tt><tt class="py-op">,</tt> <tt class="py-name">valOut</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L502"></a><tt class="py-lineno"> 502</tt>  <tt class="py-line">                            <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-282" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-282', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-283" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-283', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L503"></a><tt class="py-lineno"> 503</tt>  <tt class="py-line"> </tt>
<a name="mexhatArr"></a><div id="mexhatArr-def"><a name="L504"></a><tt class="py-lineno"> 504</tt> <a class="py-toggle" href="#" id="mexhatArr-toggle" onclick="return toggle('mexhatArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#mexhatArr">mexhatArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-284" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-284', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">scaleHalfMax</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="mexhatArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="mexhatArr-expanded"><a name="L505"></a><tt class="py-lineno"> 505</tt>  <tt class="py-line">    <tt class="py-name">scaleHalfMax</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">scaleHalfMax</tt><tt class="py-op">)</tt> </tt>
<a name="L506"></a><tt class="py-lineno"> 506</tt>  <tt class="py-line">    <tt class="py-string">"""deprecated !! use LoGArr instead for proper scaling and normalization in dim&gt;1"""</tt> </tt>
<a name="L507"></a><tt class="py-lineno"> 507</tt>  <tt class="py-line"> </tt>
<a name="L508"></a><tt class="py-lineno"> 508</tt>  <tt class="py-line">    <tt id="link-285" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-285', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-286" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-286', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-287" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-287', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L509"></a><tt class="py-lineno"> 509</tt>  <tt class="py-line">    <tt class="py-name">d</tt><tt class="py-op">=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-288" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-288', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L510"></a><tt class="py-lineno"> 510</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-289" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-289', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-290" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-290', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L511"></a><tt class="py-lineno"> 511</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt id="link-291" class="py-name" targets="Function Priithon.fftfuncs.mexhat()=Priithon.fftfuncs-module.html#mexhat"><a title="Priithon.fftfuncs.mexhat" class="py-name" href="#" onclick="return doclink('link-291', 'mexhat', 'link-291');">mexhat</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">scaleHalfMax</tt><tt class="py-op">,</tt> <tt class="py-name">d</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L512"></a><tt class="py-lineno"> 512</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-292" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-292', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-293" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-293', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L513"></a><tt class="py-lineno"> 513</tt>  <tt class="py-line"> </tt>
<a name="cosSqDiscArr"></a><div id="cosSqDiscArr-def"><a name="L514"></a><tt class="py-lineno"> 514</tt> <a class="py-toggle" href="#" id="cosSqDiscArr-toggle" onclick="return toggle('cosSqDiscArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#cosSqDiscArr">cosSqDiscArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-294" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-294', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="cosSqDiscArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="cosSqDiscArr-expanded"><a name="L515"></a><tt class="py-lineno"> 515</tt>  <tt class="py-line">    <tt class="py-docstring">""" radius is r-distance where functions == 0</tt> </tt>
<a name="L516"></a><tt class="py-lineno"> 516</tt>  <tt class="py-line"><tt class="py-docstring">        if crop is True forces all values at r &gt; radius to 0</tt> </tt>
<a name="L517"></a><tt class="py-lineno"> 517</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L518"></a><tt class="py-lineno"> 518</tt>  <tt class="py-line">    <tt class="py-name">radius2</tt> <tt class="py-op">=</tt> <tt class="py-name">radius</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-295" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-295', 'pi', 'link-235');">pi</a></tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="L519"></a><tt class="py-lineno"> 519</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">crop</tt><tt class="py-op">:</tt> </tt>
<a name="L520"></a><tt class="py-lineno"> 520</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-296" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-296', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-297" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-297', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L521"></a><tt class="py-lineno"> 521</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&gt;</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-298" class="py-name" targets="Variable Priithon.mandel.cos=Priithon.mandel-module.html#cos,Variable Priithon.plt.cos=Priithon.plt-module.html#cos,Variable Priithon.plt.interface.cos=Priithon.plt.interface-module.html#cos,Variable Priithon.plt.plot_objects.cos=Priithon.plt.plot_objects-module.html#cos,Variable Priithon.plt.plot_utility.cos=Priithon.plt.plot_utility-module.html#cos,Variable Priithon.plt.wxplt.cos=Priithon.plt.wxplt-module.html#cos"><a title="Priithon.mandel.cos
Priithon.plt.cos
Priithon.plt.interface.cos
Priithon.plt.plot_objects.cos
Priithon.plt.plot_utility.cos
Priithon.plt.wxplt.cos" class="py-name" href="#" onclick="return doclink('link-298', 'cos', 'link-298');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius2</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L522"></a><tt class="py-lineno"> 522</tt>  <tt class="py-line">                            <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-299" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-299', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-300" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-300', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L523"></a><tt class="py-lineno"> 523</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L524"></a><tt class="py-lineno"> 524</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-301" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-301', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-302" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-302', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L525"></a><tt class="py-lineno"> 525</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-303" class="py-name"><a title="Priithon.mandel.cos
Priithon.plt.cos
Priithon.plt.interface.cos
Priithon.plt.plot_objects.cos
Priithon.plt.plot_utility.cos
Priithon.plt.wxplt.cos" class="py-name" href="#" onclick="return doclink('link-303', 'cos', 'link-298');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius2</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">,</tt> </tt>
<a name="L526"></a><tt class="py-lineno"> 526</tt>  <tt class="py-line">                            <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-304" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-304', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-305" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-305', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L527"></a><tt class="py-lineno"> 527</tt>  <tt class="py-line"> </tt>
<a name="sinc"></a><div id="sinc-def"><a name="L528"></a><tt class="py-lineno"> 528</tt> <a class="py-toggle" href="#" id="sinc-toggle" onclick="return toggle('sinc');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#sinc">sinc</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="sinc-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="sinc-expanded"><a name="L529"></a><tt class="py-lineno"> 529</tt>  <tt class="py-line">    <tt class="py-comment">#numoy as opposed to numarray ignores 'divide' error by default !</tt> </tt>
<a name="L530"></a><tt class="py-lineno"> 530</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-306" class="py-name" targets="Variable Priithon.mandel.divide=Priithon.mandel-module.html#divide,Variable Priithon.plt.divide=Priithon.plt-module.html#divide,Variable Priithon.plt.interface.divide=Priithon.plt.interface-module.html#divide,Variable Priithon.plt.plot_objects.divide=Priithon.plt.plot_objects-module.html#divide,Variable Priithon.plt.plot_utility.divide=Priithon.plt.plot_utility-module.html#divide,Variable Priithon.plt.wxplt.divide=Priithon.plt.wxplt-module.html#divide"><a title="Priithon.mandel.divide
Priithon.plt.divide
Priithon.plt.interface.divide
Priithon.plt.plot_objects.divide
Priithon.plt.plot_utility.divide
Priithon.plt.wxplt.divide" class="py-name" href="#" onclick="return doclink('link-306', 'divide', 'link-306');">divide</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-307" class="py-name" targets="Variable Priithon.mandel.sin=Priithon.mandel-module.html#sin,Variable Priithon.plt.interface.sin=Priithon.plt.interface-module.html#sin,Variable Priithon.plt.plot_objects.sin=Priithon.plt.plot_objects-module.html#sin,Variable Priithon.plt.plot_utility.sin=Priithon.plt.plot_utility-module.html#sin,Variable Priithon.plt.sin=Priithon.plt-module.html#sin,Variable Priithon.plt.wxplt.sin=Priithon.plt.wxplt-module.html#sin"><a title="Priithon.mandel.sin
Priithon.plt.interface.sin
Priithon.plt.plot_objects.sin
Priithon.plt.plot_utility.sin
Priithon.plt.sin
Priithon.plt.wxplt.sin" class="py-name" href="#" onclick="return doclink('link-307', 'sin', 'link-307');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">r</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L531"></a><tt class="py-lineno"> 531</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="sincArr"></a><div id="sincArr-def"><a name="L532"></a><tt class="py-lineno"> 532</tt> <a class="py-toggle" href="#" id="sincArr-toggle" onclick="return toggle('sincArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#sincArr">sincArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-308" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-308', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="sincArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="sincArr-expanded"><a name="L533"></a><tt class="py-lineno"> 533</tt>  <tt class="py-line">    <tt class="py-docstring">""" radius is r-distance where functions == 0</tt> </tt>
<a name="L534"></a><tt class="py-lineno"> 534</tt>  <tt class="py-line"><tt class="py-docstring">        if crop is True forces all values at r &gt; radius to 0</tt> </tt>
<a name="L535"></a><tt class="py-lineno"> 535</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L536"></a><tt class="py-lineno"> 536</tt>  <tt class="py-line">    <tt class="py-name">radius2</tt> <tt class="py-op">=</tt> <tt class="py-name">radius</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-309" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-309', 'pi', 'link-235');">pi</a></tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="L537"></a><tt class="py-lineno"> 537</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">crop</tt><tt class="py-op">:</tt> </tt>
<a name="L538"></a><tt class="py-lineno"> 538</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-310" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-310', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-311" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-311', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L539"></a><tt class="py-lineno"> 539</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&gt;</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt id="link-312" class="py-name" targets="Function Priithon.fftfuncs.sinc()=Priithon.fftfuncs-module.html#sinc"><a title="Priithon.fftfuncs.sinc" class="py-name" href="#" onclick="return doclink('link-312', 'sinc', 'link-312');">sinc</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L540"></a><tt class="py-lineno"> 540</tt>  <tt class="py-line">                            <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-313" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-313', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-314" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-314', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L541"></a><tt class="py-lineno"> 541</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L542"></a><tt class="py-lineno"> 542</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-315" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-315', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-316" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-316', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L543"></a><tt class="py-lineno"> 543</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt id="link-317" class="py-name"><a title="Priithon.fftfuncs.sinc" class="py-name" href="#" onclick="return doclink('link-317', 'sinc', 'link-312');">sinc</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius2</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> \ </tt>
<a name="L544"></a><tt class="py-lineno"> 544</tt>  <tt class="py-line">                            <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-318" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-318', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-319" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-319', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L545"></a><tt class="py-lineno"> 545</tt>  <tt class="py-line"> </tt>
<a name="L546"></a><tt class="py-lineno"> 546</tt>  <tt class="py-line"> </tt>
<a name="gaussian"></a><div id="gaussian-def"><a name="L547"></a><tt class="py-lineno"> 547</tt> <a class="py-toggle" href="#" id="gaussian-toggle" onclick="return toggle('gaussian');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#gaussian">gaussian</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-number">1.</tt><tt class="py-op">,</tt> <tt class="py-param">integralScale</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="gaussian-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="gaussian-expanded"><a name="L548"></a><tt class="py-lineno"> 548</tt>  <tt class="py-line">    <tt class="py-docstring">"""returns n-dim Gaussian centered at 0</tt> </tt>
<a name="L549"></a><tt class="py-lineno"> 549</tt>  <tt class="py-line"><tt class="py-docstring">    if integralScale is not None</tt> </tt>
<a name="L550"></a><tt class="py-lineno"> 550</tt>  <tt class="py-line"><tt class="py-docstring">         result.sum() == integralScale</tt> </tt>
<a name="L551"></a><tt class="py-lineno"> 551</tt>  <tt class="py-line"><tt class="py-docstring">    if peakVal       is not None</tt> </tt>
<a name="L552"></a><tt class="py-lineno"> 552</tt>  <tt class="py-line"><tt class="py-docstring">         result max is peakVal</tt> </tt>
<a name="L553"></a><tt class="py-lineno"> 553</tt>  <tt class="py-line"><tt class="py-docstring">    if both are None</tt> </tt>
<a name="L554"></a><tt class="py-lineno"> 554</tt>  <tt class="py-line"><tt class="py-docstring">         results defaults to integralScale==1</tt> </tt>
<a name="L555"></a><tt class="py-lineno"> 555</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L556"></a><tt class="py-lineno"> 556</tt>  <tt class="py-line">    <tt class="py-comment">#sigma = _normalize_ndparm(sigma)</tt> </tt>
<a name="L557"></a><tt class="py-lineno"> 557</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-comment"># sigma = float(sigma)</tt> </tt>
<a name="L558"></a><tt class="py-lineno"> 558</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">if</tt> <tt class="py-name">integralScale</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt> <tt class="py-keyword">and</tt> <tt class="py-name">peakVal</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L559"></a><tt class="py-lineno"> 559</tt>  <tt class="py-line">        <tt class="py-name">integralScale</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> </tt>
<a name="L560"></a><tt class="py-lineno"> 560</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">integralScale</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L561"></a><tt class="py-lineno"> 561</tt>  <tt class="py-line">        <tt class="py-comment"># *N.prod(sigma))</tt> </tt>
<a name="L562"></a><tt class="py-lineno"> 562</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt> <tt class="py-op">(</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-320" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-320', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-321" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-321', 'pi', 'link-235');">pi</a></tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">sigma</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-name">dim</tt>   <tt class="py-op">*</tt> <tt class="py-name">integralScale</tt> </tt>
<a name="L563"></a><tt class="py-lineno"> 563</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">peakVal</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L564"></a><tt class="py-lineno"> 564</tt>  <tt class="py-line">        <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">peakVal</tt> </tt>
<a name="L565"></a><tt class="py-lineno"> 565</tt>  <tt class="py-line"> </tt>
<a name="L566"></a><tt class="py-lineno"> 566</tt>  <tt class="py-line">    <tt class="py-name">f2</tt> <tt class="py-op">=</tt> <tt class="py-number">2.</tt> <tt class="py-op">*</tt> <tt class="py-name">sigma</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
<a name="L567"></a><tt class="py-lineno"> 567</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">f</tt><tt class="py-op">*</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-322" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-322', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">/</tt><tt class="py-name">f2</tt><tt class="py-op">)</tt> </tt>
</div><a name="L568"></a><tt class="py-lineno"> 568</tt>  <tt class="py-line"> </tt>
<a name="gaussianArr"></a><div id="gaussianArr-def"><a name="L569"></a><tt class="py-lineno"> 569</tt> <a class="py-toggle" href="#" id="gaussianArr-toggle" onclick="return toggle('gaussianArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#gaussianArr">gaussianArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-323" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-323', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">integralScale</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> </tt>
<a name="L570"></a><tt class="py-lineno"> 570</tt>  <tt class="py-line">                <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="gaussianArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="gaussianArr-expanded"><a name="L571"></a><tt class="py-lineno"> 571</tt>  <tt class="py-line">    <tt class="py-docstring">"""returns n-dim Gaussian</tt> </tt>
<a name="L572"></a><tt class="py-lineno"> 572</tt>  <tt class="py-line"><tt class="py-docstring">    if integralScale is not None</tt> </tt>
<a name="L573"></a><tt class="py-lineno"> 573</tt>  <tt class="py-line"><tt class="py-docstring">         result.sum() == integralScale</tt> </tt>
<a name="L574"></a><tt class="py-lineno"> 574</tt>  <tt class="py-line"><tt class="py-docstring">    if peakVal       is not None</tt> </tt>
<a name="L575"></a><tt class="py-lineno"> 575</tt>  <tt class="py-line"><tt class="py-docstring">         result max is peakVal</tt> </tt>
<a name="L576"></a><tt class="py-lineno"> 576</tt>  <tt class="py-line"><tt class="py-docstring">    if both are None</tt> </tt>
<a name="L577"></a><tt class="py-lineno"> 577</tt>  <tt class="py-line"><tt class="py-docstring">         results defaults to integralScale==1</tt> </tt>
<a name="L578"></a><tt class="py-lineno"> 578</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L579"></a><tt class="py-lineno"> 579</tt>  <tt class="py-line">    <tt id="link-324" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-324', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-325" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-325', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-326" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-326', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L580"></a><tt class="py-lineno"> 580</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-327" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-327', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-328" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-328', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L581"></a><tt class="py-lineno"> 581</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt><tt id="link-329" class="py-name" targets="Function Priithon.fftfuncs.gaussian()=Priithon.fftfuncs-module.html#gaussian"><a title="Priithon.fftfuncs.gaussian" class="py-name" href="#" onclick="return doclink('link-329', 'gaussian', 'link-329');">gaussian</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-330" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-330', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">sigma</tt><tt class="py-op">,</tt> <tt class="py-name">integralScale</tt><tt class="py-op">,</tt> <tt class="py-name">peakVal</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L582"></a><tt class="py-lineno"> 582</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-331" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-331', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-332" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-332', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L583"></a><tt class="py-lineno"> 583</tt>  <tt class="py-line"> </tt>
<a name="lorentzian"></a><div id="lorentzian-def"><a name="L584"></a><tt class="py-lineno"> 584</tt> <a class="py-toggle" href="#" id="lorentzian-toggle" onclick="return toggle('lorentzian');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#lorentzian">lorentzian</a><tt class="py-op">(</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">dim</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-number">1.</tt><tt class="py-op">,</tt> <tt class="py-param">integralScale</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="lorentzian-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="lorentzian-expanded"><a name="L585"></a><tt class="py-lineno"> 585</tt>  <tt class="py-line">    <tt class="py-docstring">"""returns n-dim Lorentzian (Cauchy) function centered at 0</tt> </tt>
<a name="L586"></a><tt class="py-lineno"> 586</tt>  <tt class="py-line"><tt class="py-docstring">    if integralScale is not None</tt> </tt>
<a name="L587"></a><tt class="py-lineno"> 587</tt>  <tt class="py-line"><tt class="py-docstring">         result.sum() == integralScale</tt> </tt>
<a name="L588"></a><tt class="py-lineno"> 588</tt>  <tt class="py-line"><tt class="py-docstring">    if peakVal       is not None</tt> </tt>
<a name="L589"></a><tt class="py-lineno"> 589</tt>  <tt class="py-line"><tt class="py-docstring">         result max is peakVal</tt> </tt>
<a name="L590"></a><tt class="py-lineno"> 590</tt>  <tt class="py-line"><tt class="py-docstring">    if both are None</tt> </tt>
<a name="L591"></a><tt class="py-lineno"> 591</tt>  <tt class="py-line"><tt class="py-docstring">         results defaults to integralScale==1</tt> </tt>
<a name="L592"></a><tt class="py-lineno"> 592</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L593"></a><tt class="py-lineno"> 593</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-333" class="py-name"><a title="Priithon.useful" class="py-name" href="#" onclick="return doclink('link-333', 'useful', 'link-94');">useful</a></tt> <tt class="py-keyword">as</tt> <tt class="py-name">U</tt> </tt>
<a name="L594"></a><tt class="py-lineno"> 594</tt>  <tt class="py-line"> </tt>
<a name="L595"></a><tt class="py-lineno"> 595</tt>  <tt class="py-line">    <tt class="py-name">ff</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> </tt>
<a name="L596"></a><tt class="py-lineno"> 596</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">integralScale</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L597"></a><tt class="py-lineno"> 597</tt>  <tt class="py-line">        <tt class="py-name">ff</tt> <tt class="py-op">=</tt> <tt class="py-name">integralScale</tt> </tt>
<a name="L598"></a><tt class="py-lineno"> 598</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">peakVal</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L599"></a><tt class="py-lineno"> 599</tt>  <tt class="py-line">        <tt class="py-name">ff</tt> <tt class="py-op">=</tt> <tt class="py-name">peakVal</tt><tt class="py-op">/</tt><tt id="link-334" class="py-name" targets="Function Priithon.fftfuncs.lorentzian()=Priithon.fftfuncs-module.html#lorentzian"><a title="Priithon.fftfuncs.lorentzian" class="py-name" href="#" onclick="return doclink('link-334', 'lorentzian', 'link-334');">lorentzian</a></tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-name">dim</tt><tt class="py-op">,</tt><tt class="py-name">sigma</tt><tt class="py-op">)</tt> </tt>
<a name="L600"></a><tt class="py-lineno"> 600</tt>  <tt class="py-line"> </tt>
<a name="L601"></a><tt class="py-lineno"> 601</tt>  <tt class="py-line">    <tt class="py-name">S</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">sigma</tt><tt class="py-op">)</tt> </tt>
<a name="L602"></a><tt class="py-lineno"> 602</tt>  <tt class="py-line">    <tt class="py-name">n1_2</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">dim</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-number">.5</tt> </tt>
<a name="L603"></a><tt class="py-lineno"> 603</tt>  <tt class="py-line">    <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">ff</tt><tt class="py-op">*</tt>  <tt class="py-name">U</tt><tt class="py-op">.</tt><tt id="link-335" class="py-name" targets="Function Priithon.useful.gamma()=Priithon.useful-module.html#gamma"><a title="Priithon.useful.gamma" class="py-name" href="#" onclick="return doclink('link-335', 'gamma', 'link-335');">gamma</a></tt><tt class="py-op">(</tt><tt class="py-name">n1_2</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-336" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-336', 'pi', 'link-235');">pi</a></tt><tt class="py-op">**</tt><tt class="py-name">n1_2</tt> <tt class="py-op">*</tt> <tt class="py-name">S</tt><tt class="py-op">)</tt> </tt>
<a name="L604"></a><tt class="py-lineno"> 604</tt>  <tt class="py-line"> </tt>
<a name="L605"></a><tt class="py-lineno"> 605</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">f</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">+</tt><tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">/</tt><tt class="py-name">S</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-op">-</tt><tt class="py-name">n1_2</tt> </tt>
</div><a name="L606"></a><tt class="py-lineno"> 606</tt>  <tt class="py-line">     </tt>
<a name="lorentzianArr"></a><div id="lorentzianArr-def"><a name="L607"></a><tt class="py-lineno"> 607</tt> <a class="py-toggle" href="#" id="lorentzianArr-toggle" onclick="return toggle('lorentzianArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#lorentzianArr">lorentzianArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-337" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-337', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-number">30</tt><tt class="py-op">,</tt> <tt class="py-param">integralScale</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">peakVal</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> </tt>
<a name="L608"></a><tt class="py-lineno"> 608</tt>  <tt class="py-line">                <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">wrap</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="lorentzianArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="lorentzianArr-expanded"><a name="L609"></a><tt class="py-lineno"> 609</tt>  <tt class="py-line">    <tt class="py-docstring">"""returns n-dim Lorentzian (Cauchy) function</tt> </tt>
<a name="L610"></a><tt class="py-lineno"> 610</tt>  <tt class="py-line"><tt class="py-docstring">    if integralScale is not None</tt> </tt>
<a name="L611"></a><tt class="py-lineno"> 611</tt>  <tt class="py-line"><tt class="py-docstring">         result.sum() == integralScale</tt> </tt>
<a name="L612"></a><tt class="py-lineno"> 612</tt>  <tt class="py-line"><tt class="py-docstring">    if peakVal       is not None</tt> </tt>
<a name="L613"></a><tt class="py-lineno"> 613</tt>  <tt class="py-line"><tt class="py-docstring">         result max is peakVal</tt> </tt>
<a name="L614"></a><tt class="py-lineno"> 614</tt>  <tt class="py-line"><tt class="py-docstring">    if both are None</tt> </tt>
<a name="L615"></a><tt class="py-lineno"> 615</tt>  <tt class="py-line"><tt class="py-docstring">         results defaults to integralScale==1</tt> </tt>
<a name="L616"></a><tt class="py-lineno"> 616</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L617"></a><tt class="py-lineno"> 617</tt>  <tt class="py-line">    <tt id="link-338" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-338', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-339" class="py-name"><a title="Priithon.fftfuncs._normalize_shape" class="py-name" href="#" onclick="return doclink('link-339', '_normalize_shape', 'link-130');">_normalize_shape</a></tt><tt class="py-op">(</tt><tt id="link-340" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-340', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L618"></a><tt class="py-lineno"> 618</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-341" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-341', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-342" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-342', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L619"></a><tt class="py-lineno"> 619</tt>  <tt class="py-line">                     <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt><tt id="link-343" class="py-name"><a title="Priithon.fftfuncs.lorentzian" class="py-name" href="#" onclick="return doclink('link-343', 'lorentzian', 'link-334');">lorentzian</a></tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">,</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-344" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-344', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">sigma</tt><tt class="py-op">,</tt> <tt class="py-name">integralScale</tt><tt class="py-op">,</tt> <tt class="py-name">peakVal</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L620"></a><tt class="py-lineno"> 620</tt>  <tt class="py-line">                     <tt class="py-name">orig</tt><tt class="py-op">,</tt> <tt id="link-345" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-345', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">,</tt> <tt id="link-346" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-346', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L621"></a><tt class="py-lineno"> 621</tt>  <tt class="py-line"> </tt>
<a name="L622"></a><tt class="py-lineno"> 622</tt>  <tt class="py-line"> </tt>
<a name="sigmoid"></a><div id="sigmoid-def"><a name="L623"></a><tt class="py-lineno"> 623</tt> <a class="py-toggle" href="#" id="sigmoid-toggle" onclick="return toggle('sigmoid');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#sigmoid">sigmoid</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">b</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> <tt class="py-comment">#, dtype=N.float32):</tt> </tt>
</div><a name="L624"></a><tt class="py-lineno"> 624</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L625"></a><tt class="py-lineno"> 625</tt>  <tt class="py-line"><tt class="py-docstring">    returns the sigmoid function at x.</tt> </tt>
<a name="L626"></a><tt class="py-lineno"> 626</tt>  <tt class="py-line"><tt class="py-docstring">    parameters:</tt> </tt>
<a name="L627"></a><tt class="py-lineno"> 627</tt>  <tt class="py-line"><tt class="py-docstring">       x0: center of "input intensity"</tt> </tt>
<a name="L628"></a><tt class="py-lineno"> 628</tt>  <tt class="py-line"><tt class="py-docstring">       b: range or width of "input intensity" (will map into 27-73% range of output)</tt> </tt>
<a name="L629"></a><tt class="py-lineno"> 629</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L630"></a><tt class="py-lineno"> 630</tt>  <tt class="py-line">    <tt class="py-comment">#x  = N.asanyarray(x,dtype)</tt> </tt>
<a name="L631"></a><tt class="py-lineno"> 631</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-comment">#x0 = N.asanyarray(x0,dtype)</tt> </tt>
<a name="L632"></a><tt class="py-lineno"> 632</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-comment">#b  = N.asanyarray(b, dtype)</tt> </tt>
<a name="L633"></a><tt class="py-lineno"> 633</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L634"></a><tt class="py-lineno"> 634</tt>  <tt class="py-line">    <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">)</tt> </tt>
<a name="L635"></a><tt class="py-lineno"> 635</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-number">1.</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">+</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-347" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-347', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-op">(</tt><tt id="link-348" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-348', 'x', 'link-120');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L636"></a><tt class="py-lineno"> 636</tt>  <tt class="py-line"> </tt>
<a name="noiseArr"></a><div id="noiseArr-def"><a name="L637"></a><tt class="py-lineno"> 637</tt> <a class="py-toggle" href="#" id="noiseArr-toggle" onclick="return toggle('noiseArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#noiseArr">noiseArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-349" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-349', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">stddev</tt><tt class="py-op">=</tt><tt class="py-number">1.</tt><tt class="py-op">,</tt> <tt class="py-param">mean</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="noiseArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="noiseArr-expanded"><a name="L638"></a><tt class="py-lineno"> 638</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">normal</tt><tt class="py-op">(</tt><tt id="link-350" class="py-name" targets="Function Priithon.useful.mean()=Priithon.useful-module.html#mean"><a title="Priithon.useful.mean" class="py-name" href="#" onclick="return doclink('link-350', 'mean', 'link-350');">mean</a></tt><tt class="py-op">,</tt> <tt id="link-351" class="py-name" targets="Function Priithon.useful.stddev()=Priithon.useful-module.html#stddev"><a title="Priithon.useful.stddev" class="py-name" href="#" onclick="return doclink('link-351', 'stddev', 'link-351');">stddev</a></tt><tt class="py-op">,</tt><tt id="link-352" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-352', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt id="link-353" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-353', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="poissonArr"></a><div id="poissonArr-def"><a name="L639"></a><tt class="py-lineno"> 639</tt> <a class="py-toggle" href="#" id="poissonArr-toggle" onclick="return toggle('poissonArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#poissonArr">poissonArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-354" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-354', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">mean</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">uint16</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="poissonArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="poissonArr-expanded"><a name="L640"></a><tt class="py-lineno"> 640</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-355" class="py-name"><a title="Priithon.useful.mean" class="py-name" href="#" onclick="return doclink('link-355', 'mean', 'link-350');">mean</a></tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L641"></a><tt class="py-lineno"> 641</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-356" class="py-name" targets="Function Priithon.fftfuncs.zeroArrF()=Priithon.fftfuncs-module.html#zeroArrF"><a title="Priithon.fftfuncs.zeroArrF" class="py-name" href="#" onclick="return doclink('link-356', 'zeroArrF', 'link-356');">zeroArrF</a></tt><tt class="py-op">(</tt><tt id="link-357" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-357', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L642"></a><tt class="py-lineno"> 642</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt id="link-358" class="py-name"><a title="Priithon.useful.mean" class="py-name" href="#" onclick="return doclink('link-358', 'mean', 'link-350');">mean</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L643"></a><tt class="py-lineno"> 643</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"poisson not defined for mean &lt; 0"</tt> </tt>
<a name="L644"></a><tt class="py-lineno"> 644</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L645"></a><tt class="py-lineno"> 645</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">poisson</tt><tt class="py-op">(</tt><tt id="link-359" class="py-name"><a title="Priithon.useful.mean" class="py-name" href="#" onclick="return doclink('link-359', 'mean', 'link-350');">mean</a></tt><tt class="py-op">,</tt> <tt id="link-360" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-360', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt id="link-361" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-361', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L646"></a><tt class="py-lineno"> 646</tt>  <tt class="py-line"> </tt>
<a name="poissonize"></a><div id="poissonize-def"><a name="L647"></a><tt class="py-lineno"> 647</tt> <a class="py-toggle" href="#" id="poissonize-toggle" onclick="return toggle('poissonize');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#poissonize">poissonize</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">uint16</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="poissonize-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="poissonize-expanded"><a name="L648"></a><tt class="py-lineno"> 648</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt id="link-362" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-362', 'arr', 'link-59');">arr</a></tt><tt class="py-op">&lt;=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">random</tt><tt class="py-op">.</tt><tt class="py-name">poisson</tt><tt class="py-op">(</tt><tt id="link-363" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-363', 'arr', 'link-59');">arr</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt id="link-364" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-364', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> <tt class="py-comment"># the 'where' is used because there was a bug in numarray's poisson at some point.</tt> </tt>
</div><a name="L649"></a><tt class="py-lineno"> 649</tt>  <tt class="py-line"> </tt>
<a name="L650"></a><tt class="py-lineno"> 650</tt>  <tt class="py-line"> </tt>
<a name="L651"></a><tt class="py-lineno"> 651</tt>  <tt class="py-line"> </tt>
<a name="L652"></a><tt class="py-lineno"> 652</tt>  <tt class="py-line"><tt class="py-comment"># what was this for ????</tt> </tt>
<a name="L653"></a><tt class="py-lineno"> 653</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#   oh yeah - to test my "roating and flipping" CCD cameras</tt> </tt>
<a name="testImgR"></a><div id="testImgR-def"><a name="L654"></a><tt class="py-lineno"> 654</tt> <a class="py-toggle" href="#" id="testImgR-toggle" onclick="return toggle('testImgR');">-</a><tt class="py-line"><tt class="py-comment"></tt><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#testImgR">testImgR</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-365" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-365', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="testImgR-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="testImgR-expanded"><a name="L655"></a><tt class="py-lineno"> 655</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L656"></a><tt class="py-lineno"> 656</tt>  <tt class="py-line"><tt class="py-docstring">    some  non symmetric test image (weird "R shape")</tt> </tt>
<a name="L657"></a><tt class="py-lineno"> 657</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L658"></a><tt class="py-lineno"> 658</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt id="link-366" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-366', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt id="link-367" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-367', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">,</tt> <tt id="link-368" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-368', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L659"></a><tt class="py-lineno"> 659</tt>  <tt class="py-line">    <tt class="py-name">h</tt><tt class="py-op">,</tt><tt class="py-name">w</tt> <tt class="py-op">=</tt> <tt id="link-369" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-369', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L660"></a><tt class="py-lineno"> 660</tt>  <tt class="py-line"> </tt>
<a name="L661"></a><tt class="py-lineno"> 661</tt>  <tt class="py-line">    <tt class="py-name">x25</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">w</tt><tt class="py-op">*</tt><tt class="py-number">.25</tt><tt class="py-op">)</tt> </tt>
<a name="L662"></a><tt class="py-lineno"> 662</tt>  <tt class="py-line">    <tt class="py-name">y2</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">*</tt><tt class="py-number">.2</tt><tt class="py-op">)</tt> </tt>
<a name="L663"></a><tt class="py-lineno"> 663</tt>  <tt class="py-line">    <tt class="py-name">y8</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">*</tt><tt class="py-number">.8</tt><tt class="py-op">)</tt> </tt>
<a name="L664"></a><tt class="py-lineno"> 664</tt>  <tt class="py-line">    <tt class="py-name">y5</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">*</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt> </tt>
<a name="L665"></a><tt class="py-lineno"> 665</tt>  <tt class="py-line"> </tt>
<a name="L666"></a><tt class="py-lineno"> 666</tt>  <tt class="py-line">    <tt class="py-name">x5</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">w</tt><tt class="py-op">*</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt> </tt>
<a name="L667"></a><tt class="py-lineno"> 667</tt>  <tt class="py-line">    <tt class="py-name">x6</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">w</tt><tt class="py-op">*</tt><tt class="py-number">.6</tt><tt class="py-op">)</tt> </tt>
<a name="L668"></a><tt class="py-lineno"> 668</tt>  <tt class="py-line">    <tt class="py-name">y55</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">h</tt><tt class="py-op">*</tt><tt class="py-number">.55</tt><tt class="py-op">)</tt> </tt>
<a name="L669"></a><tt class="py-lineno"> 669</tt>  <tt class="py-line"> </tt>
<a name="L670"></a><tt class="py-lineno"> 670</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">y2</tt><tt class="py-op">:</tt><tt class="py-name">y8</tt><tt class="py-op">,</tt>  <tt class="py-name">x25</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-number">1</tt> </tt>
<a name="L671"></a><tt class="py-lineno"> 671</tt>  <tt class="py-line"> </tt>
<a name="L672"></a><tt class="py-lineno"> 672</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt id="link-370" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-370', 'x', 'link-120');">x</a></tt> <tt class="py-keyword">in</tt> <tt id="link-371" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-371', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">x25</tt><tt class="py-op">,</tt> <tt class="py-name">x6</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L673"></a><tt class="py-lineno"> 673</tt>  <tt class="py-line">        <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">y8</tt><tt class="py-op">-</tt><tt id="link-372" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-372', 'x', 'link-120');">x</a></tt><tt class="py-op">,</tt><tt id="link-373" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-373', 'x', 'link-120');">x</a></tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt><tt class="py-number">1</tt> </tt>
<a name="L674"></a><tt class="py-lineno"> 674</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">arange</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-374" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-374', 'pi', 'link-235');">pi</a></tt><tt class="py-op">/</tt><tt class="py-number">2</tt><tt class="py-op">,</tt> <tt class="py-op">-</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-375" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-375', 'pi', 'link-235');">pi</a></tt><tt class="py-op">/</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-op">-</tt><tt class="py-number">.01</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L675"></a><tt class="py-lineno"> 675</tt>  <tt class="py-line">        <tt id="link-376" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-376', 'x', 'link-120');">x</a></tt><tt class="py-op">,</tt><tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">x25</tt><tt class="py-op">+</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-377" class="py-name"><a title="Priithon.mandel.cos
Priithon.plt.cos
Priithon.plt.interface.cos
Priithon.plt.plot_objects.cos
Priithon.plt.plot_utility.cos
Priithon.plt.wxplt.cos" class="py-name" href="#" onclick="return doclink('link-377', 'cos', 'link-298');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">x25</tt><tt class="py-op">,</tt>  <tt class="py-name">y55</tt><tt class="py-op">+</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-378" class="py-name"><a title="Priithon.mandel.sin
Priithon.plt.interface.sin
Priithon.plt.plot_objects.sin
Priithon.plt.plot_utility.sin
Priithon.plt.sin
Priithon.plt.wxplt.sin" class="py-name" href="#" onclick="return doclink('link-378', 'sin', 'link-307');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">x25</tt> </tt>
<a name="L676"></a><tt class="py-lineno"> 676</tt>  <tt class="py-line">        <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt id="link-379" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-379', 'x', 'link-120');">x</a></tt><tt class="py-op">)</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt><tt class="py-number">1</tt> </tt>
<a name="L677"></a><tt class="py-lineno"> 677</tt>  <tt class="py-line">     </tt>
<a name="L678"></a><tt class="py-lineno"> 678</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L679"></a><tt class="py-lineno"> 679</tt>  <tt class="py-line"> </tt>
<a name="magicArr"></a><div id="magicArr-def"><a name="L680"></a><tt class="py-lineno"> 680</tt> <a class="py-toggle" href="#" id="magicArr-toggle" onclick="return toggle('magicArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#magicArr">magicArr</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="magicArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="magicArr-expanded"><a name="L681"></a><tt class="py-lineno"> 681</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L682"></a><tt class="py-lineno"> 682</tt>  <tt class="py-line"><tt class="py-docstring">    contruct a magic (2D) array of size n x n</tt> </tt>
<a name="L683"></a><tt class="py-lineno"> 683</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L684"></a><tt class="py-lineno"> 684</tt>  <tt class="py-line"><tt class="py-docstring">    an *N* by *N* array -- the same magic square as in</tt> </tt>
<a name="L685"></a><tt class="py-lineno"> 685</tt>  <tt class="py-line"><tt class="py-docstring">        Matlab and Octave ``magic(N)`` commands.  In particular, the </tt> </tt>
<a name="L686"></a><tt class="py-lineno"> 686</tt>  <tt class="py-line"><tt class="py-docstring">        Siamese method is used for odd *N* (but with a different </tt> </tt>
<a name="L687"></a><tt class="py-lineno"> 687</tt>  <tt class="py-line"><tt class="py-docstring">        implementation.)</tt> </tt>
<a name="L688"></a><tt class="py-lineno"> 688</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L689"></a><tt class="py-lineno"> 689</tt>  <tt class="py-line"><tt class="py-docstring">    adapted from `Alec Mihailovs`: http://mihailovs.com/Alec/ </tt> </tt>
<a name="L690"></a><tt class="py-lineno"> 690</tt>  <tt class="py-line"><tt class="py-docstring">          http://mihailovs.com/Alec/Python/magic_square.html</tt> </tt>
<a name="L691"></a><tt class="py-lineno"> 691</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L692"></a><tt class="py-lineno"> 692</tt>  <tt class="py-line">    <tt class="py-comment">#global _constant</tt> </tt>
<a name="L693"></a><tt class="py-lineno"> 693</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-keyword">if</tt> <tt class="py-name">n</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0</tt> <tt class="py-keyword">or</tt> <tt class="py-name">n</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt>                    <tt class="py-comment"># consistent with Octave</tt> </tt>
<a name="L694"></a><tt class="py-lineno"> 694</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">(</tt><tt class="py-string">"No such magic square exist."</tt><tt class="py-op">)</tt> </tt>
<a name="L695"></a><tt class="py-lineno"> 695</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">n</tt><tt class="py-op">%</tt><tt class="py-number">2</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L696"></a><tt class="py-lineno"> 696</tt>  <tt class="py-line">        <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt><tt class="py-op">&gt;&gt;</tt><tt class="py-number">1</tt> </tt>
<a name="L697"></a><tt class="py-lineno"> 697</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt><tt class="py-op">*</tt><tt class="py-name">n</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> </tt>
<a name="L698"></a><tt class="py-lineno"> 698</tt>  <tt class="py-line">        <tt class="py-comment">#seb _constant = n*b&gt;&gt;1</tt> </tt>
<a name="L699"></a><tt class="py-lineno"> 699</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">tile</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">arange</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-name">b</tt><tt class="py-op">,</tt><tt class="py-name">n</tt><tt class="py-op">,</tt> <tt id="link-380" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-380', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt id="link-381" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-381', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-name">m</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt class="py-name">reshape</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-op">]</tt><tt class="py-op">+</tt> </tt>
<a name="L700"></a><tt class="py-lineno"> 700</tt>  <tt class="py-line">              <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">tile</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">arange</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt> <tt id="link-382" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-382', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt id="link-383" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-383', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">reshape</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">n</tt><tt class="py-op">+</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-384" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.transpose" class="py-name" href="#" onclick="return doclink('link-384', 'transpose', 'link-40');">transpose</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L701"></a><tt class="py-lineno"> 701</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">n</tt><tt class="py-op">%</tt><tt class="py-number">4</tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L702"></a><tt class="py-lineno"> 702</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt><tt class="py-op">*</tt><tt class="py-name">n</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> </tt>
<a name="L703"></a><tt class="py-lineno"> 703</tt>  <tt class="py-line">        <tt class="py-name">_constant</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt><tt class="py-op">*</tt><tt class="py-name">b</tt><tt class="py-op">&gt;&gt;</tt><tt class="py-number">1</tt> </tt>
<a name="L704"></a><tt class="py-lineno"> 704</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">arange</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">b</tt><tt class="py-op">,</tt> <tt id="link-385" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-385', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt id="link-386" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-386', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">reshape</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">)</tt> </tt>
<a name="L705"></a><tt class="py-lineno"> 705</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L706"></a><tt class="py-lineno"> 706</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L707"></a><tt class="py-lineno"> 707</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L708"></a><tt class="py-lineno"> 708</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L709"></a><tt class="py-lineno"> 709</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L710"></a><tt class="py-lineno"> 710</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L711"></a><tt class="py-lineno"> 711</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L712"></a><tt class="py-lineno"> 712</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> <tt class="py-op">-</tt> <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">,</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">:</tt><tt class="py-number">4</tt><tt class="py-op">]</tt> </tt>
<a name="L713"></a><tt class="py-lineno"> 713</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">d</tt> </tt>
<a name="L714"></a><tt class="py-lineno"> 714</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L715"></a><tt class="py-lineno"> 715</tt>  <tt class="py-line">        <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt><tt class="py-op">&gt;&gt;</tt><tt class="py-number">1</tt> </tt>
<a name="L716"></a><tt class="py-lineno"> 716</tt>  <tt class="py-line">        <tt id="link-387" class="py-name" targets="Variable Priithon.py.introspect.k=Priithon.py.introspect-module.html#k"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-387', 'k', 'link-387');">k</a></tt> <tt class="py-op">=</tt> <tt class="py-name">m</tt><tt class="py-op">&gt;&gt;</tt><tt class="py-number">1</tt> </tt>
<a name="L717"></a><tt class="py-lineno"> 717</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">m</tt><tt class="py-op">*</tt><tt class="py-name">m</tt> </tt>
<a name="L718"></a><tt class="py-lineno"> 718</tt>  <tt class="py-line">        <tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">tile</tt><tt class="py-op">(</tt><tt id="link-388" class="py-name" targets="Function Priithon.fftfuncs.magicArr()=Priithon.fftfuncs-module.html#magicArr"><a title="Priithon.fftfuncs.magicArr" class="py-name" href="#" onclick="return doclink('link-388', 'magicArr', 'link-388');">magicArr</a></tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt id="link-389" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-389', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt id="link-390" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-390', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt>          <tt class="py-comment"># that changes the _constant</tt> </tt>
<a name="L719"></a><tt class="py-lineno"> 719</tt>  <tt class="py-line">        <tt class="py-comment">#seb _constant = _constant*8 - n - m     </tt> </tt>
<a name="L720"></a><tt class="py-lineno"> 720</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt id="link-391" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-391', 'k', 'link-387');">k</a></tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L721"></a><tt class="py-lineno"> 721</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-op">,</tt><tt id="link-392" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-392', 'k', 'link-387');">k</a></tt><tt class="py-op">:</tt><tt class="py-name">m</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L722"></a><tt class="py-lineno"> 722</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt> <tt id="link-393" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-393', 'k', 'link-387');">k</a></tt><tt class="py-op">,</tt>  <tt id="link-394" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-394', 'k', 'link-387');">k</a></tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L723"></a><tt class="py-lineno"> 723</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt> <tt id="link-395" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-395', 'k', 'link-387');">k</a></tt><tt class="py-op">,</tt>  <tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">-=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L724"></a><tt class="py-lineno"> 724</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">+</tt><tt id="link-396" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-396', 'k', 'link-387');">k</a></tt><tt class="py-op">,</tt> <tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L725"></a><tt class="py-lineno"> 725</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">+</tt><tt id="link-397" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-397', 'k', 'link-387');">k</a></tt><tt class="py-op">,</tt> <tt id="link-398" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-398', 'k', 'link-387');">k</a></tt><tt class="py-op">]</tt> <tt class="py-op">-=</tt> <tt class="py-number">3</tt><tt class="py-op">*</tt><tt class="py-name">b</tt> </tt>
<a name="L726"></a><tt class="py-lineno"> 726</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-name">m</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt id="link-399" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-399', 'k', 'link-387');">k</a></tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">b</tt><tt class="py-op">+</tt><tt class="py-name">b</tt> </tt>
<a name="L727"></a><tt class="py-lineno"> 727</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt id="link-400" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-400', 'k', 'link-387');">k</a></tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">b</tt> </tt>
<a name="L728"></a><tt class="py-lineno"> 728</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">-</tt><tt id="link-401" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-401', 'k', 'link-387');">k</a></tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">b</tt> </tt>
<a name="L729"></a><tt class="py-lineno"> 729</tt>  <tt class="py-line">        <tt class="py-name">d</tt><tt class="py-op">[</tt><tt class="py-name">m</tt><tt class="py-op">:</tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">-</tt><tt id="link-402" class="py-name"><a title="Priithon.py.introspect.k" class="py-name" href="#" onclick="return doclink('link-402', 'k', 'link-387');">k</a></tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">b</tt><tt class="py-op">+</tt><tt class="py-name">b</tt> </tt>
<a name="L730"></a><tt class="py-lineno"> 730</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">d</tt> </tt>
</div><a name="L731"></a><tt class="py-lineno"> 731</tt>  <tt class="py-line"> </tt>
<a name="magicArr_check"></a><div id="magicArr_check-def"><a name="L732"></a><tt class="py-lineno"> 732</tt> <a class="py-toggle" href="#" id="magicArr_check-toggle" onclick="return toggle('magicArr_check');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#magicArr_check">magicArr_check</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="magicArr_check-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="magicArr_check-expanded"><a name="L733"></a><tt class="py-lineno"> 733</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L734"></a><tt class="py-lineno"> 734</tt>  <tt class="py-line"><tt class="py-docstring">    check if `arr` is a (2D) magic array</tt> </tt>
<a name="L735"></a><tt class="py-lineno"> 735</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L736"></a><tt class="py-lineno"> 736</tt>  <tt class="py-line"><tt class="py-docstring">    returns magic constant of `arr` or `False` if `arr` is not magic</tt> </tt>
<a name="L737"></a><tt class="py-lineno"> 737</tt>  <tt class="py-line"><tt class="py-docstring">    (note: F.magicArr_test(F.magicArr(0)) returns 0 -- which is technically different from False)</tt> </tt>
<a name="L738"></a><tt class="py-lineno"> 738</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L739"></a><tt class="py-lineno"> 739</tt>  <tt class="py-line"><tt class="py-docstring">    adapted from `Alec Mihailovs`: http://mihailovs.com/Alec/ </tt> </tt>
<a name="L740"></a><tt class="py-lineno"> 740</tt>  <tt class="py-line"><tt class="py-docstring">          http://mihailovs.com/Alec/Python/magic_square.html</tt> </tt>
<a name="L741"></a><tt class="py-lineno"> 741</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L742"></a><tt class="py-lineno"> 742</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asanyarray</tt><tt class="py-op">(</tt><tt id="link-403" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-403', 'arr', 'link-59');">arr</a></tt><tt class="py-op">)</tt> </tt>
<a name="L743"></a><tt class="py-lineno"> 743</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-404" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-404', 'ndim', 'link-32');">ndim</a></tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L744"></a><tt class="py-lineno"> 744</tt>  <tt class="py-line">        <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">flipud</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">trace</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L745"></a><tt class="py-lineno"> 745</tt>  <tt class="py-line">        <tt class="py-name">t</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-405" class="py-name" targets="Variable Priithon.mandel.r_=Priithon.mandel-module.html#r_,Variable Priithon.plt.interface.r_=Priithon.plt.interface-module.html#r_,Variable Priithon.plt.plot_objects.r_=Priithon.plt.plot_objects-module.html#r_,Variable Priithon.plt.plot_utility.r_=Priithon.plt.plot_utility-module.html#r_,Variable Priithon.plt.r_=Priithon.plt-module.html#r_,Variable Priithon.plt.wxplt.r_=Priithon.plt.wxplt-module.html#r_"><a title="Priithon.mandel.r_
Priithon.plt.interface.r_
Priithon.plt.plot_objects.r_
Priithon.plt.plot_utility.r_
Priithon.plt.r_
Priithon.plt.wxplt.r_" class="py-name" href="#" onclick="return doclink('link-405', 'r_', 'link-405');">r_</a></tt><tt class="py-op">[</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt class="py-name">sum</tt><tt class="py-op">(</tt><tt id="link-406" class="py-name" targets="Function Priithon.plt.interface.axis()=Priithon.plt.interface-module.html#axis,Method Priithon.plt.wxplt.plot_canvas.axis()=Priithon.plt.wxplt.plot_canvas-class.html#axis"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-406', 'axis', 'link-406');">axis</a></tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt class="py-name">sum</tt><tt class="py-op">(</tt><tt id="link-407" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-407', 'axis', 'link-406');">axis</a></tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt class="py-name">trace</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> <tt class="py-op">==</tt> <tt class="py-name">m</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-408" class="py-name" targets="Module Priithon.all=Priithon.all-module.html"><a title="Priithon.all" class="py-name" href="#" onclick="return doclink('link-408', 'all', 'link-408');">all</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L746"></a><tt class="py-lineno"> 746</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">t</tt> <tt class="py-op">==</tt> <tt id="link-409" class="py-name" targets="Variable Priithon.wxPyPlot.True=Priithon.wxPyPlot-module.html#True"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-409', 'True', 'link-409');">True</a></tt><tt class="py-op">:</tt>        <tt class="py-comment"># not "is" because t is a NumPy boolean  </tt> </tt>
<a name="L747"></a><tt class="py-lineno"> 747</tt>  <tt class="py-line">            <tt class="py-comment">#seb _constant = m</tt> </tt>
<a name="L748"></a><tt class="py-lineno"> 748</tt>  <tt class="py-line"><tt class="py-comment"></tt>            <tt class="py-keyword">return</tt> <tt class="py-name">m</tt> <tt class="py-comment">#True        # seb original version: not "return t",</tt> </tt>
<a name="L749"></a><tt class="py-lineno"> 749</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt>                     <tt class="py-comment"># seb original version: to make sure that</tt> </tt>
<a name="L750"></a><tt class="py-lineno"> 750</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt id="link-410" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-410', 'False', 'link-83');">False</a></tt>          <tt class="py-comment"># seb original version: the return value is of the bool type     </tt> </tt>
<a name="L751"></a><tt class="py-lineno"> 751</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-411" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-411', 'ndim', 'link-32');">ndim</a></tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L752"></a><tt class="py-lineno"> 752</tt>  <tt class="py-line">        <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-412" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-412', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-413" class="py-name" targets="Method Priithon.plt.plot_objects.text_object.size()=Priithon.plt.plot_objects.text_object-class.html#size,Method Priithon.plt.plot_utility.box_object.size()=Priithon.plt.plot_utility.box_object-class.html#size,Variable Priithon.viewerRubberbandMode.viewerRubberbandMode.size=Priithon.viewerRubberbandMode.viewerRubberbandMode-class.html#size"><a title="Priithon.plt.plot_objects.text_object.size
Priithon.plt.plot_utility.box_object.size
Priithon.viewerRubberbandMode.viewerRubberbandMode.size" class="py-name" href="#" onclick="return doclink('link-413', 'size', 'link-413');">size</a></tt><tt class="py-op">)</tt> </tt>
<a name="L753"></a><tt class="py-lineno"> 753</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-414" class="py-name"><a title="Priithon.plt.plot_objects.text_object.size
Priithon.plt.plot_utility.box_object.size
Priithon.viewerRubberbandMode.viewerRubberbandMode.size" class="py-name" href="#" onclick="return doclink('link-414', 'size', 'link-413');">size</a></tt> <tt class="py-op">==</tt> <tt class="py-name">s</tt><tt class="py-op">*</tt><tt class="py-name">s</tt><tt class="py-op">:</tt> </tt>
<a name="L754"></a><tt class="py-lineno"> 754</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">magicArr_test</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt class="py-name">reshape</tt><tt class="py-op">(</tt><tt class="py-name">s</tt><tt class="py-op">,</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L755"></a><tt class="py-lineno"> 755</tt>  <tt class="py-line"> </tt>
<a name="L756"></a><tt class="py-lineno"> 756</tt>  <tt class="py-line">    <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"arr must be a 2d array or 1d with a square length"</tt> </tt>
</div><a name="L757"></a><tt class="py-lineno"> 757</tt>  <tt class="py-line">     </tt>
<a name="L758"></a><tt class="py-lineno"> 758</tt>  <tt class="py-line"> </tt>
<a name="rampArr"></a><div id="rampArr-def"><a name="L759"></a><tt class="py-lineno"> 759</tt> <a class="py-toggle" href="#" id="rampArr-toggle" onclick="return toggle('rampArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#rampArr">rampArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-415" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-415', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">axis</tt><tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">start</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-param">stop</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="rampArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="rampArr-expanded"><a name="L760"></a><tt class="py-lineno"> 760</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L761"></a><tt class="py-lineno"> 761</tt>  <tt class="py-line"><tt class="py-docstring">    return arr with values increasing along `axis`</tt> </tt>
<a name="L762"></a><tt class="py-lineno"> 762</tt>  <tt class="py-line"><tt class="py-docstring">    starting with start</tt> </tt>
<a name="L763"></a><tt class="py-lineno"> 763</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L764"></a><tt class="py-lineno"> 764</tt>  <tt class="py-line"><tt class="py-docstring">    if stop is None: values will go from start..start+N-1 (N being the length of the given axis)</tt> </tt>
<a name="L765"></a><tt class="py-lineno"> 765</tt>  <tt class="py-line"><tt class="py-docstring">    if start is None: values will be the reverse of when only stop is None </tt> </tt>
<a name="L766"></a><tt class="py-lineno"> 766</tt>  <tt class="py-line"><tt class="py-docstring">    if dtype is None:</tt> </tt>
<a name="L767"></a><tt class="py-lineno"> 767</tt>  <tt class="py-line"><tt class="py-docstring">        dtype = N.int16 if start or stop is None</tt> </tt>
<a name="L768"></a><tt class="py-lineno"> 768</tt>  <tt class="py-line"><tt class="py-docstring">        dtype = N.float32 otherwise</tt> </tt>
<a name="L769"></a><tt class="py-lineno"> 769</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L770"></a><tt class="py-lineno"> 770</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-416" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-416', 'dtype', 'link-12');">dtype</a></tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L771"></a><tt class="py-lineno"> 771</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">stop</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt> <tt class="py-keyword">or</tt> <tt class="py-name">start</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L772"></a><tt class="py-lineno"> 772</tt>  <tt class="py-line">            <tt id="link-417" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-417', 'dtype', 'link-12');">dtype</a></tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int16</tt> </tt>
<a name="L773"></a><tt class="py-lineno"> 773</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L774"></a><tt class="py-lineno"> 774</tt>  <tt class="py-line">            <tt id="link-418" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-418', 'dtype', 'link-12');">dtype</a></tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt> </tt>
<a name="L775"></a><tt class="py-lineno"> 775</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">start</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L776"></a><tt class="py-lineno"> 776</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">stop</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L777"></a><tt class="py-lineno"> 777</tt>  <tt class="py-line">            <tt class="py-name">stop</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L778"></a><tt class="py-lineno"> 778</tt>  <tt class="py-line">        <tt class="py-name">start</tt> <tt class="py-op">=</tt> <tt class="py-name">stop</tt><tt class="py-op">+</tt><tt id="link-419" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-419', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt id="link-420" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-420', 'axis', 'link-406');">axis</a></tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> </tt>
<a name="L779"></a><tt class="py-lineno"> 779</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">stop</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L780"></a><tt class="py-lineno"> 780</tt>  <tt class="py-line">        <tt class="py-name">stop</tt> <tt class="py-op">=</tt> <tt class="py-name">start</tt><tt class="py-op">+</tt><tt id="link-421" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-421', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt id="link-422" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-422', 'axis', 'link-406');">axis</a></tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt> </tt>
<a name="L781"></a><tt class="py-lineno"> 781</tt>  <tt class="py-line"> </tt>
<a name="L782"></a><tt class="py-lineno"> 782</tt>  <tt class="py-line">    <tt class="py-name">num</tt> <tt class="py-op">=</tt> <tt id="link-423" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-423', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt id="link-424" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-424', 'axis', 'link-406');">axis</a></tt><tt class="py-op">]</tt> </tt>
<a name="L783"></a><tt class="py-lineno"> 783</tt>  <tt class="py-line">    <tt id="link-425" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-425', 'arr', 'link-59');">arr</a></tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-426" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-426', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-427" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-427', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L784"></a><tt class="py-lineno"> 784</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-428" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-428', 'axis', 'link-406');">axis</a></tt> <tt class="py-op">&lt;</tt><tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L785"></a><tt class="py-lineno"> 785</tt>  <tt class="py-line">        <tt id="link-429" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-429', 'axis', 'link-406');">axis</a></tt> <tt class="py-op">+=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-430" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-430', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L786"></a><tt class="py-lineno"> 786</tt>  <tt class="py-line">    <tt class="py-name">numNewAxes</tt><tt class="py-op">=</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-431" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-431', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt id="link-432" class="py-name"><a title="Priithon.plt.interface.axis
Priithon.plt.wxplt.plot_canvas.axis" class="py-name" href="#" onclick="return doclink('link-432', 'axis', 'link-406');">axis</a></tt> </tt>
<a name="L787"></a><tt class="py-lineno"> 787</tt>  <tt class="py-line">    <tt class="py-name">idxTup</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt id="link-433" class="py-name" targets="Variable Priithon.viewerRubberbandMode.viewerRubberbandMode.slice=Priithon.viewerRubberbandMode.viewerRubberbandMode-class.html#slice"><a title="Priithon.viewerRubberbandMode.viewerRubberbandMode.slice" class="py-name" href="#" onclick="return doclink('link-433', 'slice', 'link-433');">slice</a></tt><tt class="py-op">(</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-op">(</tt><tt class="py-name">None</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">numNewAxes</tt> </tt>
<a name="L788"></a><tt class="py-lineno"> 788</tt>  <tt class="py-line">    <tt id="link-434" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-434', 'arr', 'link-59');">arr</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">linspace</tt><tt class="py-op">(</tt><tt class="py-name">start</tt><tt class="py-op">,</tt><tt class="py-name">stop</tt><tt class="py-op">,</tt> <tt class="py-name">num</tt><tt class="py-op">,</tt> <tt class="py-name">endpoint</tt><tt class="py-op">=</tt><tt id="link-435" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-435', 'True', 'link-409');">True</a></tt><tt class="py-op">,</tt> <tt class="py-name">retstep</tt><tt class="py-op">=</tt><tt id="link-436" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-436', 'False', 'link-83');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">[</tt><tt class="py-name">idxTup</tt><tt class="py-op">]</tt> </tt>
<a name="L789"></a><tt class="py-lineno"> 789</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-437" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-437', 'arr', 'link-59');">arr</a></tt> </tt>
</div><a name="L790"></a><tt class="py-lineno"> 790</tt>  <tt class="py-line"> </tt>
<a name="binaryStructure_Zero"></a><div id="binaryStructure_Zero-def"><a name="L791"></a><tt class="py-lineno"> 791</tt> <a class="py-toggle" href="#" id="binaryStructure_Zero-toggle" onclick="return toggle('binaryStructure_Zero');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#binaryStructure_Zero">binaryStructure_Zero</a><tt class="py-op">(</tt><tt class="py-param">rank</tt><tt class="py-op">,</tt> <tt class="py-param">connectivity</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="binaryStructure_Zero-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="binaryStructure_Zero-expanded"><a name="L792"></a><tt class="py-lineno"> 792</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L793"></a><tt class="py-lineno"> 793</tt>  <tt class="py-line"><tt class="py-docstring">    returns  nd.generate_binary_structure</tt> </tt>
<a name="L794"></a><tt class="py-lineno"> 794</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L795"></a><tt class="py-lineno"> 795</tt>  <tt class="py-line"><tt class="py-docstring">    but also sets structure[0] =  structure[-1] = False</tt> </tt>
<a name="L796"></a><tt class="py-lineno"> 796</tt>  <tt class="py-line"><tt class="py-docstring">    #old  if zeroBothEndsAxis is not None:</tt> </tt>
<a name="L797"></a><tt class="py-lineno"> 797</tt>  <tt class="py-line"><tt class="py-docstring">    #old  overide </tt> </tt>
<a name="L798"></a><tt class="py-lineno"> 798</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L799"></a><tt class="py-lineno"> 799</tt>  <tt class="py-line">    <tt class="py-name">structure</tt> <tt class="py-op">=</tt> <tt class="py-name">nd</tt><tt class="py-op">.</tt><tt class="py-name">generate_binary_structure</tt><tt class="py-op">(</tt><tt class="py-name">rank</tt><tt class="py-op">,</tt> <tt class="py-name">connectivity</tt><tt class="py-op">)</tt> </tt>
<a name="L800"></a><tt class="py-lineno"> 800</tt>  <tt class="py-line">    <tt class="py-name">structure</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt>  <tt class="py-name">structure</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-438" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-438', 'False', 'link-83');">False</a></tt> </tt>
<a name="L801"></a><tt class="py-lineno"> 801</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">structure</tt> </tt>
</div><a name="L802"></a><tt class="py-lineno"> 802</tt>  <tt class="py-line"> </tt>
<a name="binaryStructure_2dDisc_in3d"></a><div id="binaryStructure_2dDisc_in3d-def"><a name="L803"></a><tt class="py-lineno"> 803</tt> <a class="py-toggle" href="#" id="binaryStructure_2dDisc_in3d-toggle" onclick="return toggle('binaryStructure_2dDisc_in3d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#binaryStructure_2dDisc_in3d">binaryStructure_2dDisc_in3d</a><tt class="py-op">(</tt><tt class="py-param">shape2d</tt><tt class="py-op">=</tt><tt class="py-op">(</tt><tt class="py-number">5</tt><tt class="py-op">,</tt><tt class="py-number">5</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-param">r</tt><tt class="py-op">=</tt><tt class="py-number">2.5</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="binaryStructure_2dDisc_in3d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="binaryStructure_2dDisc_in3d-expanded"><a name="L804"></a><tt class="py-lineno"> 804</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L805"></a><tt class="py-lineno"> 805</tt>  <tt class="py-line"><tt class="py-docstring">    returns bool array shape=(3,&lt;shape2d&gt;)</tt> </tt>
<a name="L806"></a><tt class="py-lineno"> 806</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L807"></a><tt class="py-lineno"> 807</tt>  <tt class="py-line"><tt class="py-docstring">    first and last z section all False</tt> </tt>
<a name="L808"></a><tt class="py-lineno"> 808</tt>  <tt class="py-line"><tt class="py-docstring">    middle z section is a F.discArr with given r</tt> </tt>
<a name="L809"></a><tt class="py-lineno"> 809</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L810"></a><tt class="py-lineno"> 810</tt>  <tt class="py-line">    <tt class="py-name">structure</tt> <tt class="py-op">=</tt> <tt id="link-439" class="py-name"><a title="Priithon.fftfuncs.zeroArr" class="py-name" href="#" onclick="return doclink('link-439', 'zeroArr', 'link-16');">zeroArr</a></tt><tt class="py-op">(</tt><tt class="py-name">bool</tt><tt class="py-op">,</tt> <tt class="py-op">(</tt><tt class="py-number">3</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">shape2d</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L811"></a><tt class="py-lineno"> 811</tt>  <tt class="py-line">    <tt class="py-name">structure</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-440" class="py-name" targets="Function Priithon.fftfuncs.discArr()=Priithon.fftfuncs-module.html#discArr"><a title="Priithon.fftfuncs.discArr" class="py-name" href="#" onclick="return doclink('link-440', 'discArr', 'link-440');">discArr</a></tt><tt class="py-op">(</tt><tt class="py-name">shape2d</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">,</tt> <tt id="link-441" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-441', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">bool</tt><tt class="py-op">)</tt> </tt>
<a name="L812"></a><tt class="py-lineno"> 812</tt>  <tt class="py-line"> </tt>
<a name="L813"></a><tt class="py-lineno"> 813</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">structure</tt> </tt>
</div><a name="L814"></a><tt class="py-lineno"> 814</tt>  <tt class="py-line"> </tt>
<a name="L815"></a><tt class="py-lineno"> 815</tt>  <tt class="py-line"> </tt>
<a name="L816"></a><tt class="py-lineno"> 816</tt>  <tt class="py-line">     </tt>
<a name="L817"></a><tt class="py-lineno"> 817</tt>  <tt class="py-line"> </tt>
<a name="L818"></a><tt class="py-lineno"> 818</tt>  <tt class="py-line"><tt class="py-comment">###################################################################</tt> </tt>
<a name="L819"></a><tt class="py-lineno"> 819</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">## FFT   </tt> </tt>
<a name="L820"></a><tt class="py-lineno"> 820</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">###################################################################</tt> </tt>
<a name="L821"></a><tt class="py-lineno"> 821</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="shuffle4irfft"></a><div id="shuffle4irfft-def"><a name="L822"></a><tt class="py-lineno"> 822</tt> <a class="py-toggle" href="#" id="shuffle4irfft-toggle" onclick="return toggle('shuffle4irfft');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#shuffle4irfft">shuffle4irfft</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="shuffle4irfft-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="shuffle4irfft-expanded"><a name="L823"></a><tt class="py-lineno"> 823</tt>  <tt class="py-line">    <tt class="py-keyword">global</tt> <tt class="py-name">ny</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt><tt class="py-op">,</tt><tt class="py-name">nx2</tt><tt class="py-op">,</tt><tt class="py-name">nx21</tt><tt class="py-op">,</tt><tt class="py-name">ny2</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt> </tt>
<a name="L824"></a><tt class="py-lineno"> 824</tt>  <tt class="py-line">    <tt class="py-name">ny</tt><tt class="py-op">,</tt><tt class="py-name">nx</tt> <tt class="py-op">=</tt> <tt id="link-442" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-442', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-443" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-443', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L825"></a><tt class="py-lineno"> 825</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">nx</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt> <tt class="py-keyword">or</tt> <tt class="py-name">ny</tt> <tt class="py-op">%</tt><tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L826"></a><tt class="py-lineno"> 826</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">RuntimeError</tt><tt class="py-op">,</tt> <tt class="py-string">"TODO"</tt> </tt>
<a name="L827"></a><tt class="py-lineno"> 827</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L828"></a><tt class="py-lineno"> 828</tt>  <tt class="py-line">        <tt class="py-name">nx2</tt> <tt class="py-op">=</tt> <tt class="py-name">nx</tt> <tt class="py-op">//</tt> <tt class="py-number">2</tt> </tt>
<a name="L829"></a><tt class="py-lineno"> 829</tt>  <tt class="py-line">        <tt class="py-name">nx21</tt> <tt class="py-op">=</tt> <tt class="py-name">nx2</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> </tt>
<a name="L830"></a><tt class="py-lineno"> 830</tt>  <tt class="py-line">        <tt class="py-name">ny2</tt> <tt class="py-op">=</tt> <tt class="py-name">ny</tt> <tt class="py-op">//</tt> <tt class="py-number">2</tt> </tt>
<a name="L831"></a><tt class="py-lineno"> 831</tt>  <tt class="py-line">        <tt class="py-keyword">pass</tt> </tt>
<a name="L832"></a><tt class="py-lineno"> 832</tt>  <tt class="py-line"> </tt>
<a name="L833"></a><tt class="py-lineno"> 833</tt>  <tt class="py-line">     </tt>
<a name="L834"></a><tt class="py-lineno"> 834</tt>  <tt class="py-line"> </tt>
<a name="L835"></a><tt class="py-lineno"> 835</tt>  <tt class="py-line">    <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt id="link-444" class="py-name"><a title="Priithon.fftfuncs.zeroArrF" class="py-name" href="#" onclick="return doclink('link-444', 'zeroArrF', 'link-356');">zeroArrF</a></tt><tt class="py-op">(</tt><tt id="link-445" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-445', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-446" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-446', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">nx21</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L836"></a><tt class="py-lineno"> 836</tt>  <tt class="py-line">     </tt>
<a name="L837"></a><tt class="py-lineno"> 837</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">ny2</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">nx2</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-447" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-447', 'arr', 'link-59');">arr</a></tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">ny2</tt><tt class="py-op">:</tt><tt class="py-op">,</tt><tt class="py-name">nx2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L838"></a><tt class="py-lineno"> 838</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">ny2</tt><tt class="py-op">:</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">nx2</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-448" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-448', 'arr', 'link-59');">arr</a></tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">ny2</tt><tt class="py-op">,</tt><tt class="py-name">nx2</tt><tt class="py-op">:</tt><tt class="py-op">]</tt> </tt>
<a name="L839"></a><tt class="py-lineno"> 839</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">ny2</tt><tt class="py-op">,</tt> <tt class="py-name">nx2</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-449" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-449', 'arr', 'link-59');">arr</a></tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">ny2</tt><tt class="py-op">:</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L840"></a><tt class="py-lineno"> 840</tt>  <tt class="py-line">    <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-name">ny2</tt><tt class="py-op">:</tt><tt class="py-op">,</tt> <tt class="py-name">nx2</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-450" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-450', 'arr', 'link-59');">arr</a></tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-name">ny2</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L841"></a><tt class="py-lineno"> 841</tt>  <tt class="py-line"> </tt>
<a name="L842"></a><tt class="py-lineno"> 842</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L843"></a><tt class="py-lineno"> 843</tt>  <tt class="py-line"> </tt>
<a name="shift"></a><div id="shift-def"><a name="L844"></a><tt class="py-lineno"> 844</tt> <a class="py-toggle" href="#" id="shift-toggle" onclick="return toggle('shift');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#shift">shift</a><tt class="py-op">(</tt><tt class="py-param">arr</tt><tt class="py-op">,</tt> <tt class="py-param">delta</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> <tt class="py-comment">#20081113 , dtype=N.float32):</tt> </tt>
</div><a name="L845"></a><tt class="py-lineno"> 845</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L846"></a><tt class="py-lineno"> 846</tt>  <tt class="py-line"><tt class="py-docstring">    returns new array: arr shifted by delta (tuple)</tt> </tt>
<a name="L847"></a><tt class="py-lineno"> 847</tt>  <tt class="py-line"><tt class="py-docstring">       it uses rfft, multiplying with "shift array", irfft</tt> </tt>
<a name="L848"></a><tt class="py-lineno"> 848</tt>  <tt class="py-line"><tt class="py-docstring">    delta defaults to half of arr.shape </tt> </tt>
<a name="L849"></a><tt class="py-lineno"> 849</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L850"></a><tt class="py-lineno"> 850</tt>  <tt class="py-line"><tt class="py-docstring">    #20081113 dtype option removed (FIXME TODO)</tt> </tt>
<a name="L851"></a><tt class="py-lineno"> 851</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L852"></a><tt class="py-lineno"> 852</tt>  <tt class="py-line">    <tt class="py-comment">#20081113 from numpy import fft</tt> </tt>
<a name="L853"></a><tt class="py-lineno"> 853</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt id="link-451" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-451', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-452" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-452', 'arr', 'link-59');">arr</a></tt><tt class="py-op">.</tt><tt id="link-453" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-453', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L854"></a><tt class="py-lineno"> 854</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">delta</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L855"></a><tt class="py-lineno"> 855</tt>  <tt class="py-line">        <tt class="py-name">delta</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-454" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-454', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L856"></a><tt class="py-lineno"> 856</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-keyword">not</tt> <tt class="py-name">hasattr</tt><tt class="py-op">(</tt><tt class="py-name">delta</tt><tt class="py-op">,</tt> <tt class="py-string">'__len__'</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L857"></a><tt class="py-lineno"> 857</tt>  <tt class="py-line">        <tt class="py-name">delta</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">delta</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-455" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-455', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L858"></a><tt class="py-lineno"> 858</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-456" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-456', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">delta</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L859"></a><tt class="py-lineno"> 859</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape and delta not same dimension"</tt> </tt>
<a name="L860"></a><tt class="py-lineno"> 860</tt>  <tt class="py-line"> </tt>
<a name="L861"></a><tt class="py-lineno"> 861</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-457" class="py-name" targets="Function Priithon.fftfuncs.irfft()=Priithon.fftfuncs-module.html#irfft,Function Priithon.fftw.irfft()=Priithon.fftw-module.html#irfft"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-457', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt id="link-458" class="py-name" targets="Function Priithon.fftfuncs.fourierRealShiftArr()=Priithon.fftfuncs-module.html#fourierRealShiftArr"><a title="Priithon.fftfuncs.fourierRealShiftArr" class="py-name" href="#" onclick="return doclink('link-458', 'fourierRealShiftArr', 'link-458');">fourierRealShiftArr</a></tt><tt class="py-op">(</tt><tt id="link-459" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-459', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">delta</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> </tt>
<a name="L862"></a><tt class="py-lineno"> 862</tt>  <tt class="py-line">                                    <tt id="link-460" class="py-name" targets="Function Priithon.fftfuncs.rfft()=Priithon.fftfuncs-module.html#rfft,Function Priithon.fftw.rfft()=Priithon.fftw-module.html#rfft"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-460', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt id="link-461" class="py-name"><a title="Priithon.useful.arr" class="py-name" href="#" onclick="return doclink('link-461', 'arr', 'link-59');">arr</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L863"></a><tt class="py-lineno"> 863</tt>  <tt class="py-line"><tt class="py-comment">#     else:</tt> </tt>
<a name="L864"></a><tt class="py-lineno"> 864</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         ax = range(-len(shape),0)</tt> </tt>
<a name="L865"></a><tt class="py-lineno"> 865</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#         return fft.irfftn(fourierRealShiftArr(shape, delta) *</tt> </tt>
<a name="L866"></a><tt class="py-lineno"> 866</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#                           fft.rfftn(arr, axes=ax), axes=ax).astype(dtype)</tt> </tt>
<a name="L867"></a><tt class="py-lineno"> 867</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L868"></a><tt class="py-lineno"> 868</tt>  <tt class="py-line"> </tt>
<a name="L869"></a><tt class="py-lineno"> 869</tt>  <tt class="py-line">     </tt>
<a name="fourierRealShiftArr"></a><div id="fourierRealShiftArr-def"><a name="L870"></a><tt class="py-lineno"> 870</tt> <a class="py-toggle" href="#" id="fourierRealShiftArr-toggle" onclick="return toggle('fourierRealShiftArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#fourierRealShiftArr">fourierRealShiftArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-462" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-462', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">delta</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="fourierRealShiftArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="fourierRealShiftArr-expanded"><a name="L871"></a><tt class="py-lineno"> 871</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-463" class="py-name" targets="Function Priithon.fftfuncs.fourierShiftArr()=Priithon.fftfuncs-module.html#fourierShiftArr"><a title="Priithon.fftfuncs.fourierShiftArr" class="py-name" href="#" onclick="return doclink('link-463', 'fourierShiftArr', 'link-463');">fourierShiftArr</a></tt><tt class="py-op">(</tt><tt id="link-464" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-464', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">delta</tt><tt class="py-op">,</tt> <tt class="py-number">1</tt><tt class="py-op">,</tt> <tt id="link-465" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-465', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L872"></a><tt class="py-lineno"> 872</tt>  <tt class="py-line"> </tt>
<a name="fourierShiftArr"></a><div id="fourierShiftArr-def"><a name="L873"></a><tt class="py-lineno"> 873</tt> <a class="py-toggle" href="#" id="fourierShiftArr-toggle" onclick="return toggle('fourierShiftArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#fourierShiftArr">fourierShiftArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-466" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-466', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">delta</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">meantForRealFFT</tt><tt class="py-op">=</tt><tt id="link-467" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-467', 'False', 'link-83');">False</a></tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="fourierShiftArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="fourierShiftArr-expanded"><a name="L874"></a><tt class="py-lineno"> 874</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">delta</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L875"></a><tt class="py-lineno"> 875</tt>  <tt class="py-line">        <tt class="py-name">delta</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-468" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-468', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L876"></a><tt class="py-lineno"> 876</tt>  <tt class="py-line">     </tt>
<a name="L877"></a><tt class="py-lineno"> 877</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-469" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-469', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">!=</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt class="py-name">delta</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L878"></a><tt class="py-lineno"> 878</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape and delta not same dimension"</tt> </tt>
<a name="L879"></a><tt class="py-lineno"> 879</tt>  <tt class="py-line"> </tt>
<a name="L880"></a><tt class="py-lineno"> 880</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">meantForRealFFT</tt><tt class="py-op">:</tt> </tt>
<a name="L881"></a><tt class="py-lineno"> 881</tt>  <tt class="py-line">        <tt class="py-name">nx</tt> <tt class="py-op">=</tt> <tt id="link-470" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-470', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L882"></a><tt class="py-lineno"> 882</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">nx</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L883"></a><tt class="py-lineno"> 883</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"shape must be even sized in last dimension if meantForRealFFT"</tt> </tt>
<a name="L884"></a><tt class="py-lineno"> 884</tt>  <tt class="py-line"> </tt>
<a name="L885"></a><tt class="py-lineno"> 885</tt>  <tt class="py-line">    <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">2j</tt><tt class="py-op">*</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-471" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-471', 'pi', 'link-235');">pi</a></tt> </tt>
<a name="L886"></a><tt class="py-lineno"> 886</tt>  <tt class="py-line"> </tt>
<a name="L887"></a><tt class="py-lineno"> 887</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-472" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-472', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L888"></a><tt class="py-lineno"> 888</tt>  <tt class="py-line">        <tt class="py-name">nX</tt> <tt class="py-op">=</tt> <tt id="link-473" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-473', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L889"></a><tt class="py-lineno"> 889</tt>  <tt class="py-line">        <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt> </tt>
<a name="L890"></a><tt class="py-lineno"> 890</tt>  <tt class="py-line">        <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nX</tt><tt class="py-op">)</tt> </tt>
<a name="L891"></a><tt class="py-lineno"> 891</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">meantForRealFFT</tt><tt class="py-op">:</tt> </tt>
<a name="L892"></a><tt class="py-lineno"> 892</tt>  <tt class="py-line">            <tt id="link-474" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-474', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-475" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-475', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt> <tt id="link-476" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-476', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">//</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> <tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L893"></a><tt class="py-lineno"> 893</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-477" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-477', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt id="link-478" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-478', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> \ </tt>
<a name="L894"></a><tt class="py-lineno"> 894</tt>  <tt class="py-line">                               <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-479" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-479', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">*</tt><tt id="link-480" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-480', 'x', 'link-120');">x</a></tt><tt class="py-op">*</tt> <tt class="py-name">dx</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-481" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-481', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-482" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-482', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L895"></a><tt class="py-lineno"> 895</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-483" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-483', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L896"></a><tt class="py-lineno"> 896</tt>  <tt class="py-line">        <tt class="py-name">nY</tt><tt class="py-op">,</tt><tt class="py-name">nX</tt> <tt class="py-op">=</tt> <tt id="link-484" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-484', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L897"></a><tt class="py-lineno"> 897</tt>  <tt class="py-line">        <tt class="py-name">dy</tt><tt class="py-op">,</tt><tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt> </tt>
<a name="L898"></a><tt class="py-lineno"> 898</tt>  <tt class="py-line">        <tt class="py-name">dy</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dy</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nY</tt><tt class="py-op">)</tt> </tt>
<a name="L899"></a><tt class="py-lineno"> 899</tt>  <tt class="py-line">        <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nX</tt><tt class="py-op">)</tt> </tt>
<a name="L900"></a><tt class="py-lineno"> 900</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">meantForRealFFT</tt><tt class="py-op">:</tt> </tt>
<a name="L901"></a><tt class="py-lineno"> 901</tt>  <tt class="py-line">            <tt id="link-485" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-485', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-486" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-486', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt> <tt id="link-487" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-487', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">//</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> <tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L902"></a><tt class="py-lineno"> 902</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-488" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-488', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-489" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-489', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> \ </tt>
<a name="L903"></a><tt class="py-lineno"> 903</tt>  <tt class="py-line">                               <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-490" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-490', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">*</tt> <tt class="py-name">dy</tt> <tt class="py-op">+</tt> </tt>
<a name="L904"></a><tt class="py-lineno"> 904</tt>  <tt class="py-line">                                         <tt id="link-491" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-491', 'x', 'link-120');">x</a></tt><tt class="py-op">*</tt> <tt class="py-name">dx</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt id="link-492" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-492', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-493" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-493', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
<a name="L905"></a><tt class="py-lineno"> 905</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">len</tt><tt class="py-op">(</tt><tt id="link-494" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-494', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-number">3</tt><tt class="py-op">:</tt> </tt>
<a name="L906"></a><tt class="py-lineno"> 906</tt>  <tt class="py-line">        <tt class="py-name">nZ</tt><tt class="py-op">,</tt><tt class="py-name">nY</tt><tt class="py-op">,</tt><tt class="py-name">nX</tt> <tt class="py-op">=</tt> <tt id="link-495" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-495', 'shape', 'link-6');">shape</a></tt> </tt>
<a name="L907"></a><tt class="py-lineno"> 907</tt>  <tt class="py-line">        <tt class="py-name">dz</tt><tt class="py-op">,</tt><tt class="py-name">dy</tt><tt class="py-op">,</tt><tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt> </tt>
<a name="L908"></a><tt class="py-lineno"> 908</tt>  <tt class="py-line">        <tt class="py-name">dz</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dz</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nZ</tt><tt class="py-op">)</tt> </tt>
<a name="L909"></a><tt class="py-lineno"> 909</tt>  <tt class="py-line">        <tt class="py-name">dy</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dy</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nY</tt><tt class="py-op">)</tt> </tt>
<a name="L910"></a><tt class="py-lineno"> 910</tt>  <tt class="py-line">        <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">dx</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">nX</tt><tt class="py-op">)</tt> </tt>
<a name="L911"></a><tt class="py-lineno"> 911</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">meantForRealFFT</tt><tt class="py-op">:</tt> </tt>
<a name="L912"></a><tt class="py-lineno"> 912</tt>  <tt class="py-line">            <tt id="link-496" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-496', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt id="link-497" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-497', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt> <tt id="link-498" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-498', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">//</tt><tt class="py-number">2</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> <tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L913"></a><tt class="py-lineno"> 913</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-499" class="py-name"><a title="Priithon.fftfuncs.__fromfunction" class="py-name" href="#" onclick="return doclink('link-499', '__fromfunction', 'link-138');">__fromfunction</a></tt><tt class="py-op">(</tt><tt class="py-keyword">lambda</tt> <tt class="py-name">z</tt><tt class="py-op">,</tt><tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-500" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-500', 'x', 'link-120');">x</a></tt><tt class="py-op">:</tt> \ </tt>
<a name="L914"></a><tt class="py-lineno"> 914</tt>  <tt class="py-line">                               <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-501" class="py-name"><a title="Priithon.mandel.exp
Priithon.plt.exp
Priithon.plt.interface.exp
Priithon.plt.plot_objects.exp
Priithon.plt.plot_utility.exp
Priithon.plt.wxplt.exp" class="py-name" href="#" onclick="return doclink('link-501', 'exp', 'link-238');">exp</a></tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">*</tt> <tt class="py-name">dz</tt> <tt class="py-op">+</tt> </tt>
<a name="L915"></a><tt class="py-lineno"> 915</tt>  <tt class="py-line">                                         <tt class="py-name">y</tt><tt class="py-op">*</tt> <tt class="py-name">dy</tt> <tt class="py-op">+</tt> </tt>
<a name="L916"></a><tt class="py-lineno"> 916</tt>  <tt class="py-line">                                         <tt id="link-502" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-502', 'x', 'link-120');">x</a></tt><tt class="py-op">*</tt> <tt class="py-name">dx</tt> <tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">,</tt> <tt id="link-503" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-503', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-504" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-504', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L917"></a><tt class="py-lineno"> 917</tt>  <tt class="py-line">     </tt>
<a name="L918"></a><tt class="py-lineno"> 918</tt>  <tt class="py-line"><tt class="py-string">'''</tt> </tt>
<a name="L919"></a><tt class="py-lineno"> 919</tt>  <tt class="py-line"><tt class="py-string">    dim = N.array(shape, dtype=N.float)</tt> </tt>
<a name="L920"></a><tt class="py-lineno"> 920</tt>  <tt class="py-line"><tt class="py-string">    dr = N.array(delta, dtype=N.float)</tt> </tt>
<a name="L921"></a><tt class="py-lineno"> 921</tt>  <tt class="py-line"><tt class="py-string">    dr *= -1. / dim </tt> </tt>
<a name="L922"></a><tt class="py-lineno"> 922</tt>  <tt class="py-line"><tt class="py-string">    print shape, dr</tt> </tt>
<a name="L923"></a><tt class="py-lineno"> 923</tt>  <tt class="py-line"><tt class="py-string">    if meantForRealFFT:</tt> </tt>
<a name="L924"></a><tt class="py-lineno"> 924</tt>  <tt class="py-line"><tt class="py-string">            shape = shape[:-1] + ( shape[-1]/2 + 1 ,)</tt> </tt>
<a name="L925"></a><tt class="py-lineno"> 925</tt>  <tt class="py-line"><tt class="py-string">    return __fromfunction(lambda *r: \</tt> </tt>
<a name="L926"></a><tt class="py-lineno"> 926</tt>  <tt class="py-line"><tt class="py-string">                               N.exp(f*(N.dot(N.array(r), dr))), shape)</tt> </tt>
<a name="L927"></a><tt class="py-lineno"> 927</tt>  <tt class="py-line"><tt class="py-string">'''</tt> </tt>
<a name="L928"></a><tt class="py-lineno"> 928</tt>  <tt class="py-line"> </tt>
<a name="L929"></a><tt class="py-lineno"> 929</tt>  <tt class="py-line"> </tt>
<a name="L930"></a><tt class="py-lineno"> 930</tt>  <tt class="py-line"><tt class="py-comment">###############from numarray import fft as FFT</tt> </tt>
<a name="L931"></a><tt class="py-lineno"> 931</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#shortcuts</tt> </tt>
<a name="L932"></a><tt class="py-lineno"> 932</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L933"></a><tt class="py-lineno"> 933</tt>  <tt class="py-line"><tt class="py-comment">#  fft    = FFT.fftnd</tt> </tt>
<a name="L934"></a><tt class="py-lineno"> 934</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  fft2d  = FFT.fft2d</tt> </tt>
<a name="L935"></a><tt class="py-lineno"> 935</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  fft1d  = FFT.fft</tt> </tt>
<a name="L936"></a><tt class="py-lineno"> 936</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L937"></a><tt class="py-lineno"> 937</tt>  <tt class="py-line"><tt class="py-comment">#  rfft    = FFT.real_fftnd</tt> </tt>
<a name="L938"></a><tt class="py-lineno"> 938</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  rfft2d  = FFT.real_fft2d</tt> </tt>
<a name="L939"></a><tt class="py-lineno"> 939</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  rfft1d  = FFT.real_fft</tt> </tt>
<a name="L940"></a><tt class="py-lineno"> 940</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L941"></a><tt class="py-lineno"> 941</tt>  <tt class="py-line"><tt class="py-comment">#  ifft    = FFT.inverse_fftnd</tt> </tt>
<a name="L942"></a><tt class="py-lineno"> 942</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  ifft2d  = FFT.inverse_fft2d</tt> </tt>
<a name="L943"></a><tt class="py-lineno"> 943</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  ifft1d  = FFT.inverse_fft</tt> </tt>
<a name="L944"></a><tt class="py-lineno"> 944</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L945"></a><tt class="py-lineno"> 945</tt>  <tt class="py-line"><tt class="py-comment">#  irfft    = FFT.inverse_real_fftnd</tt> </tt>
<a name="L946"></a><tt class="py-lineno"> 946</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  irfft2d  = FFT.inverse_real_fft2d</tt> </tt>
<a name="L947"></a><tt class="py-lineno"> 947</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#  irfft1d  = FFT.inverse_real_fft</tt> </tt>
<a name="L948"></a><tt class="py-lineno"> 948</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L949"></a><tt class="py-lineno"> 949</tt>  <tt class="py-line"> </tt>
<a name="fft"></a><div id="fft-def"><a name="L950"></a><tt class="py-lineno"> 950</tt> <a class="py-toggle" href="#" id="fft-toggle" onclick="return toggle('fft');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#fft">fft</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">minCdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="fft-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="fft-expanded"><a name="L951"></a><tt class="py-lineno"> 951</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L952"></a><tt class="py-lineno"> 952</tt>  <tt class="py-line"><tt class="py-docstring">    calculate nd fourier transform</tt> </tt>
<a name="L953"></a><tt class="py-lineno"> 953</tt>  <tt class="py-line"><tt class="py-docstring">    performs full, i.e. non-real, fft</tt> </tt>
<a name="L954"></a><tt class="py-lineno"> 954</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L955"></a><tt class="py-lineno"> 955</tt>  <tt class="py-line"><tt class="py-docstring">    `a` should be a complex array,</tt> </tt>
<a name="L956"></a><tt class="py-lineno"> 956</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L957"></a><tt class="py-lineno"> 957</tt>  <tt class="py-line"><tt class="py-docstring">      minCdtype</tt> </tt>
<a name="L958"></a><tt class="py-lineno"> 958</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L959"></a><tt class="py-lineno"> 959</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-505" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-505', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L960"></a><tt class="py-lineno"> 960</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">minCdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L961"></a><tt class="py-lineno"> 961</tt>  <tt class="py-line"> </tt>
<a name="L962"></a><tt class="py-lineno"> 962</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-506" class="py-name" targets="Module Priithon.fftw=Priithon.fftw-module.html"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-506', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L963"></a><tt class="py-lineno"> 963</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-507" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-507', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-508" class="py-name" targets="Function Priithon.fftfuncs.fft()=Priithon.fftfuncs-module.html#fft,Function Priithon.fftw.fft()=Priithon.fftw-module.html#fft"><a title="Priithon.fftfuncs.fft
Priithon.fftw.fft" class="py-name" href="#" onclick="return doclink('link-508', 'fft', 'link-508');">fft</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="ifft"></a><div id="ifft-def"><a name="L964"></a><tt class="py-lineno"> 964</tt> <a class="py-toggle" href="#" id="ifft-toggle" onclick="return toggle('ifft');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#ifft">ifft</a><tt class="py-op">(</tt><tt class="py-param">af</tt><tt class="py-op">,</tt> <tt class="py-param">normalize</tt><tt class="py-op">=</tt><tt id="link-509" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-509', 'True', 'link-409');">True</a></tt><tt class="py-op">,</tt> <tt class="py-param">minCdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ifft-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="ifft-expanded"><a name="L965"></a><tt class="py-lineno"> 965</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L966"></a><tt class="py-lineno"> 966</tt>  <tt class="py-line"><tt class="py-docstring">    calculate nd inverse fourier transform</tt> </tt>
<a name="L967"></a><tt class="py-lineno"> 967</tt>  <tt class="py-line"><tt class="py-docstring">    performs full, i.e. non-real, ifft</tt> </tt>
<a name="L968"></a><tt class="py-lineno"> 968</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L969"></a><tt class="py-lineno"> 969</tt>  <tt class="py-line"><tt class="py-docstring">    fftw does NOT normalize (divide by product of shape)</tt> </tt>
<a name="L970"></a><tt class="py-lineno"> 970</tt>  <tt class="py-line"><tt class="py-docstring">    they argue that the normalization can often be combined with other</tt> </tt>
<a name="L971"></a><tt class="py-lineno"> 971</tt>  <tt class="py-line"><tt class="py-docstring">    operation and thus save a loop through the data</tt> </tt>
<a name="L972"></a><tt class="py-lineno"> 972</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L973"></a><tt class="py-lineno"> 973</tt>  <tt class="py-line"><tt class="py-docstring">    if normalize is True: the division is done -- and normilized data is returned</tt> </tt>
<a name="L974"></a><tt class="py-lineno"> 974</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L975"></a><tt class="py-lineno"> 975</tt>  <tt class="py-line"><tt class="py-docstring">    `af` should be a complex array,</tt> </tt>
<a name="L976"></a><tt class="py-lineno"> 976</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L977"></a><tt class="py-lineno"> 977</tt>  <tt class="py-line"><tt class="py-docstring">      minCdtype</tt> </tt>
<a name="L978"></a><tt class="py-lineno"> 978</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L979"></a><tt class="py-lineno"> 979</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-510" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-510', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L980"></a><tt class="py-lineno"> 980</tt>  <tt class="py-line">        <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">,</tt> <tt class="py-name">minCdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L981"></a><tt class="py-lineno"> 981</tt>  <tt class="py-line"> </tt>
<a name="L982"></a><tt class="py-lineno"> 982</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-511" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-511', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L983"></a><tt class="py-lineno"> 983</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">normalize</tt><tt class="py-op">:</tt> </tt>
<a name="L984"></a><tt class="py-lineno"> 984</tt>  <tt class="py-line">        <tt class="py-name">vol</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">product</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-512" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-512', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L985"></a><tt class="py-lineno"> 985</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-513" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-513', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-514" class="py-name" targets="Function Priithon.fftfuncs.ifft()=Priithon.fftfuncs-module.html#ifft,Function Priithon.fftw.ifft()=Priithon.fftw-module.html#ifft"><a title="Priithon.fftfuncs.ifft
Priithon.fftw.ifft" class="py-name" href="#" onclick="return doclink('link-514', 'ifft', 'link-514');">ifft</a></tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">vol</tt> </tt>
<a name="L986"></a><tt class="py-lineno"> 986</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L987"></a><tt class="py-lineno"> 987</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-515" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-515', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-516" class="py-name"><a title="Priithon.fftfuncs.ifft
Priithon.fftw.ifft" class="py-name" href="#" onclick="return doclink('link-516', 'ifft', 'link-514');">ifft</a></tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">)</tt> </tt>
</div><a name="L988"></a><tt class="py-lineno"> 988</tt>  <tt class="py-line">         </tt>
<a name="rfft"></a><div id="rfft-def"><a name="L989"></a><tt class="py-lineno"> 989</tt> <a class="py-toggle" href="#" id="rfft-toggle" onclick="return toggle('rfft');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#rfft">rfft</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">minFdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="rfft-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="rfft-expanded"><a name="L990"></a><tt class="py-lineno"> 990</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L991"></a><tt class="py-lineno"> 991</tt>  <tt class="py-line"><tt class="py-docstring">    calculate nd fourier transform</tt> </tt>
<a name="L992"></a><tt class="py-lineno"> 992</tt>  <tt class="py-line"><tt class="py-docstring">    performs real- fft, i.e. the return array has shape with last dim halfed+1</tt> </tt>
<a name="L993"></a><tt class="py-lineno"> 993</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L994"></a><tt class="py-lineno"> 994</tt>  <tt class="py-line"><tt class="py-docstring">    `a` should be a real array,</tt> </tt>
<a name="L995"></a><tt class="py-lineno"> 995</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L996"></a><tt class="py-lineno"> 996</tt>  <tt class="py-line"><tt class="py-docstring">      minFdtype</tt> </tt>
<a name="L997"></a><tt class="py-lineno"> 997</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L998"></a><tt class="py-lineno"> 998</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-517" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-517', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L999"></a><tt class="py-lineno"> 999</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">minFdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L1000"></a><tt class="py-lineno">1000</tt>  <tt class="py-line">     </tt>
<a name="L1001"></a><tt class="py-lineno">1001</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-518" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-518', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L1002"></a><tt class="py-lineno">1002</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-519" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-519', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-520" class="py-name"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-520', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
</div><a name="irfft"></a><div id="irfft-def"><a name="L1003"></a><tt class="py-lineno">1003</tt> <a class="py-toggle" href="#" id="irfft-toggle" onclick="return toggle('irfft');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#irfft">irfft</a><tt class="py-op">(</tt><tt class="py-param">af</tt><tt class="py-op">,</tt> <tt class="py-param">normalize</tt><tt class="py-op">=</tt><tt id="link-521" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-521', 'True', 'link-409');">True</a></tt><tt class="py-op">,</tt> <tt class="py-param">minCdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="irfft-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="irfft-expanded"><a name="L1004"></a><tt class="py-lineno">1004</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1005"></a><tt class="py-lineno">1005</tt>  <tt class="py-line"><tt class="py-docstring">    calculate nd inverse fourier transform</tt> </tt>
<a name="L1006"></a><tt class="py-lineno">1006</tt>  <tt class="py-line"><tt class="py-docstring">    performs real- ifft, i.e. the input array has shape with last dim halfed+1</tt> </tt>
<a name="L1007"></a><tt class="py-lineno">1007</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1008"></a><tt class="py-lineno">1008</tt>  <tt class="py-line"><tt class="py-docstring">    fftw does NOT normalize (divide by product of shape)</tt> </tt>
<a name="L1009"></a><tt class="py-lineno">1009</tt>  <tt class="py-line"><tt class="py-docstring">    they argue that the normalization can often be combined with other</tt> </tt>
<a name="L1010"></a><tt class="py-lineno">1010</tt>  <tt class="py-line"><tt class="py-docstring">    operation and thus save a loop through the data</tt> </tt>
<a name="L1011"></a><tt class="py-lineno">1011</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1012"></a><tt class="py-lineno">1012</tt>  <tt class="py-line"><tt class="py-docstring">    if normalize is True: the division is done -- and normilized data is returned</tt> </tt>
<a name="L1013"></a><tt class="py-lineno">1013</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1014"></a><tt class="py-lineno">1014</tt>  <tt class="py-line"><tt class="py-docstring">    `af` should be a complex array,</tt> </tt>
<a name="L1015"></a><tt class="py-lineno">1015</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L1016"></a><tt class="py-lineno">1016</tt>  <tt class="py-line"><tt class="py-docstring">      minCdtype</tt> </tt>
<a name="L1017"></a><tt class="py-lineno">1017</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1018"></a><tt class="py-lineno">1018</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-522" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-522', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1019"></a><tt class="py-lineno">1019</tt>  <tt class="py-line">        <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">,</tt> <tt class="py-name">minCdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L1020"></a><tt class="py-lineno">1020</tt>  <tt class="py-line"> </tt>
<a name="L1021"></a><tt class="py-lineno">1021</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-523" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-523', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L1022"></a><tt class="py-lineno">1022</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">normalize</tt><tt class="py-op">:</tt> </tt>
<a name="L1023"></a><tt class="py-lineno">1023</tt>  <tt class="py-line">        <tt class="py-name">vol</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">product</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-524" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-524', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L1024"></a><tt class="py-lineno">1024</tt>  <tt class="py-line">        <tt class="py-name">vol</tt> <tt class="py-op">*=</tt> <tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-525" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-525', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> </tt>
<a name="L1025"></a><tt class="py-lineno">1025</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-526" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-526', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-527" class="py-name"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-527', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">vol</tt> </tt>
<a name="L1026"></a><tt class="py-lineno">1026</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1027"></a><tt class="py-lineno">1027</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-528" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-528', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-529" class="py-name"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-529', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">)</tt>            <tt class="py-comment"># </tt> </tt>
</div><a name="L1028"></a><tt class="py-lineno">1028</tt>  <tt class="py-line"> </tt>
<a name="rfft2d"></a><div id="rfft2d-def"><a name="L1029"></a><tt class="py-lineno">1029</tt> <a class="py-toggle" href="#" id="rfft2d-toggle" onclick="return toggle('rfft2d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#rfft2d">rfft2d</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">minFdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="rfft2d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="rfft2d-expanded"><a name="L1030"></a><tt class="py-lineno">1030</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1031"></a><tt class="py-lineno">1031</tt>  <tt class="py-line"><tt class="py-docstring">    calculate (section-wise) 2d fourier transform</tt> </tt>
<a name="L1032"></a><tt class="py-lineno">1032</tt>  <tt class="py-line"><tt class="py-docstring">    performs real- fft, i.e. the return array has shape with last dim halfed+1</tt> </tt>
<a name="L1033"></a><tt class="py-lineno">1033</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1034"></a><tt class="py-lineno">1034</tt>  <tt class="py-line"><tt class="py-docstring">    `a` should be a real array,</tt> </tt>
<a name="L1035"></a><tt class="py-lineno">1035</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L1036"></a><tt class="py-lineno">1036</tt>  <tt class="py-line"><tt class="py-docstring">      minFdtype</tt> </tt>
<a name="L1037"></a><tt class="py-lineno">1037</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1038"></a><tt class="py-lineno">1038</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-530" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-530', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1039"></a><tt class="py-lineno">1039</tt>  <tt class="py-line">        <tt class="py-name">aDtype</tt> <tt class="py-op">=</tt> <tt class="py-name">minFdtype</tt> </tt>
<a name="L1040"></a><tt class="py-lineno">1040</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1041"></a><tt class="py-lineno">1041</tt>  <tt class="py-line">        <tt class="py-name">aDtype</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-531" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-531', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-comment"># ensures native byte-order ?</tt> </tt>
<a name="L1042"></a><tt class="py-lineno">1042</tt>  <tt class="py-line"> </tt>
<a name="L1043"></a><tt class="py-lineno">1043</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-532" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-532', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L1044"></a><tt class="py-lineno">1044</tt>  <tt class="py-line">    <tt class="py-name">nx</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-533" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-533', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L1045"></a><tt class="py-lineno">1045</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">nx</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L1046"></a><tt class="py-lineno">1046</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"a must be even sized in last dimension"</tt> </tt>
<a name="L1047"></a><tt class="py-lineno">1047</tt>  <tt class="py-line">    <tt class="py-name">s2</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-534" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-534', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-op">(</tt><tt class="py-name">nx</tt><tt class="py-op">//</tt><tt class="py-number">2</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L1048"></a><tt class="py-lineno">1048</tt>  <tt class="py-line"> </tt>
<a name="L1049"></a><tt class="py-lineno">1049</tt>  <tt class="py-line">     </tt>
<a name="L1050"></a><tt class="py-lineno">1050</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">aDtype</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">:</tt> </tt>
<a name="L1051"></a><tt class="py-lineno">1051</tt>  <tt class="py-line">        <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-535" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-535', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-name">s2</tt><tt class="py-op">,</tt> <tt id="link-536" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-536', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">)</tt> </tt>
<a name="L1052"></a><tt class="py-lineno">1052</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">aDtype</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">:</tt> </tt>
<a name="L1053"></a><tt class="py-lineno">1053</tt>  <tt class="py-line">        <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-537" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-537', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt class="py-name">s2</tt><tt class="py-op">,</tt> <tt id="link-538" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-538', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">)</tt> </tt>
<a name="L1054"></a><tt class="py-lineno">1054</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1055"></a><tt class="py-lineno">1055</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">,</tt> <tt class="py-string">"a must be of dtype float32 or float64 (%s given)"</tt><tt class="py-op">%</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-539" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-539', 'dtype', 'link-12');">dtype</a></tt>  </tt>
<a name="L1056"></a><tt class="py-lineno">1056</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">tup</tt> <tt class="py-keyword">in</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ndindex</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-540" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-540', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1057"></a><tt class="py-lineno">1057</tt>  <tt class="py-line">        <tt id="link-541" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-541', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-542" class="py-name"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-542', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">aDtype</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">af</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L1058"></a><tt class="py-lineno">1058</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">af</tt> </tt>
</div><a name="L1059"></a><tt class="py-lineno">1059</tt>  <tt class="py-line"> </tt>
<a name="irfft2d"></a><div id="irfft2d-def"><a name="L1060"></a><tt class="py-lineno">1060</tt> <a class="py-toggle" href="#" id="irfft2d-toggle" onclick="return toggle('irfft2d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#irfft2d">irfft2d</a><tt class="py-op">(</tt><tt class="py-param">af</tt><tt class="py-op">,</tt> <tt class="py-param">preserve</tt><tt class="py-op">=</tt><tt id="link-543" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-543', 'True', 'link-409');">True</a></tt><tt class="py-op">,</tt> <tt class="py-param">normalize</tt><tt class="py-op">=</tt><tt id="link-544" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-544', 'True', 'link-409');">True</a></tt><tt class="py-op">,</tt> <tt class="py-param">minCdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="irfft2d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="irfft2d-expanded"><a name="L1061"></a><tt class="py-lineno">1061</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1062"></a><tt class="py-lineno">1062</tt>  <tt class="py-line"><tt class="py-docstring">    calculate (section-wise) 2d inverse fourier transform</tt> </tt>
<a name="L1063"></a><tt class="py-lineno">1063</tt>  <tt class="py-line"><tt class="py-docstring">    performs real- ifft, i.e. the input array has shape with last dim halfed+1</tt> </tt>
<a name="L1064"></a><tt class="py-lineno">1064</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1065"></a><tt class="py-lineno">1065</tt>  <tt class="py-line"><tt class="py-docstring">    the (fftw) implementation of irfft would overwrite the original af array</tt> </tt>
<a name="L1066"></a><tt class="py-lineno">1066</tt>  <tt class="py-line"><tt class="py-docstring">    to preserve af  when preserve is True - a copy is made first</tt> </tt>
<a name="L1067"></a><tt class="py-lineno">1067</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1068"></a><tt class="py-lineno">1068</tt>  <tt class="py-line"><tt class="py-docstring">    fftw does NOT normalize (divide by product of shape)</tt> </tt>
<a name="L1069"></a><tt class="py-lineno">1069</tt>  <tt class="py-line"><tt class="py-docstring">    they argue that the normalization can often be combined with other</tt> </tt>
<a name="L1070"></a><tt class="py-lineno">1070</tt>  <tt class="py-line"><tt class="py-docstring">    operation and thus save a loop through the data</tt> </tt>
<a name="L1071"></a><tt class="py-lineno">1071</tt>  <tt class="py-line"><tt class="py-docstring">    if normalize is True: the division is done -- and normilized data is returned</tt> </tt>
<a name="L1072"></a><tt class="py-lineno">1072</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1073"></a><tt class="py-lineno">1073</tt>  <tt class="py-line"><tt class="py-docstring">    `af` should be a complex array,</tt> </tt>
<a name="L1074"></a><tt class="py-lineno">1074</tt>  <tt class="py-line"><tt class="py-docstring">      otherwise it gets converted to</tt> </tt>
<a name="L1075"></a><tt class="py-lineno">1075</tt>  <tt class="py-line"><tt class="py-docstring">      minCdtype</tt> </tt>
<a name="L1076"></a><tt class="py-lineno">1076</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1077"></a><tt class="py-lineno">1077</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-545" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-545', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1078"></a><tt class="py-lineno">1078</tt>  <tt class="py-line">        <tt class="py-name">afDtype</tt> <tt class="py-op">=</tt> <tt class="py-name">minCdtype</tt> </tt>
<a name="L1079"></a><tt class="py-lineno">1079</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1080"></a><tt class="py-lineno">1080</tt>  <tt class="py-line">        <tt class="py-name">afDtype</tt> <tt class="py-op">=</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-546" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-546', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-comment"># ensures native byte-order ?</tt> </tt>
<a name="L1081"></a><tt class="py-lineno">1081</tt>  <tt class="py-line">     </tt>
<a name="L1082"></a><tt class="py-lineno">1082</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt> <tt class="py-keyword">import</tt> <tt id="link-547" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-547', 'fftw', 'link-506');">fftw</a></tt> </tt>
<a name="L1083"></a><tt class="py-lineno">1083</tt>  <tt class="py-line">    <tt id="link-548" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-548', 'shape', 'link-6');">shape</a></tt> <tt class="py-op">=</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-549" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-549', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-550" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-550', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-number">2</tt><tt class="py-op">,</tt><tt class="py-op">)</tt> </tt>
<a name="L1084"></a><tt class="py-lineno">1084</tt>  <tt class="py-line">    <tt class="py-name">vol2d</tt> <tt class="py-op">=</tt> <tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-551" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-551', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-552" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-552', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> </tt>
<a name="L1085"></a><tt class="py-lineno">1085</tt>  <tt class="py-line"> </tt>
<a name="L1086"></a><tt class="py-lineno">1086</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt>   <tt class="py-name">afDtype</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex64</tt><tt class="py-op">:</tt> </tt>
<a name="L1087"></a><tt class="py-lineno">1087</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-553" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-553', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt id="link-554" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-554', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-555" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-555', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt> </tt>
<a name="L1088"></a><tt class="py-lineno">1088</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-name">afDtype</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">complex128</tt><tt class="py-op">:</tt> </tt>
<a name="L1089"></a><tt class="py-lineno">1089</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">empty</tt><tt class="py-op">(</tt><tt id="link-556" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-556', 'shape', 'link-6');">shape</a></tt><tt class="py-op">=</tt><tt id="link-557" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-557', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-558" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-558', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt> </tt>
<a name="L1090"></a><tt class="py-lineno">1090</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1091"></a><tt class="py-lineno">1091</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">,</tt> <tt class="py-string">"af must be of dtype complex64 or complex128 (%s given)"</tt><tt class="py-op">%</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-559" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-559', 'dtype', 'link-12');">dtype</a></tt>  </tt>
<a name="L1092"></a><tt class="py-lineno">1092</tt>  <tt class="py-line"> </tt>
<a name="L1093"></a><tt class="py-lineno">1093</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">tup</tt> <tt class="py-keyword">in</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ndindex</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">.</tt><tt id="link-560" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-560', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1094"></a><tt class="py-lineno">1094</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">preserve</tt> <tt class="py-op">:</tt> </tt>
<a name="L1095"></a><tt class="py-lineno">1095</tt>  <tt class="py-line">            <tt class="py-name">myAF</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">afDtype</tt><tt class="py-op">,</tt> <tt class="py-name">copy</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L1096"></a><tt class="py-lineno">1096</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1097"></a><tt class="py-lineno">1097</tt>  <tt class="py-line">            <tt class="py-name">myAF</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">afDtype</tt><tt class="py-op">)</tt> </tt>
<a name="L1098"></a><tt class="py-lineno">1098</tt>  <tt class="py-line">        <tt id="link-561" class="py-name"><a title="Priithon.fftw" class="py-name" href="#" onclick="return doclink('link-561', 'fftw', 'link-506');">fftw</a></tt><tt class="py-op">.</tt><tt id="link-562" class="py-name"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-562', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt class="py-name">myAF</tt><tt class="py-op">,</tt><tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">copy</tt><tt class="py-op">=</tt><tt id="link-563" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-563', 'False', 'link-83');">False</a></tt><tt class="py-op">)</tt> </tt>
<a name="L1099"></a><tt class="py-lineno">1099</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">normalize</tt><tt class="py-op">:</tt> </tt>
<a name="L1100"></a><tt class="py-lineno">1100</tt>  <tt class="py-line">            <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt> <tt class="py-op">/=</tt> <tt class="py-name">vol2d</tt> </tt>
<a name="L1101"></a><tt class="py-lineno">1101</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">a</tt> </tt>
</div><a name="L1102"></a><tt class="py-lineno">1102</tt>  <tt class="py-line"> </tt>
<a name="L1103"></a><tt class="py-lineno">1103</tt>  <tt class="py-line"><tt class="py-string">'''</tt> </tt>
<a name="L1104"></a><tt class="py-lineno">1104</tt>  <tt class="py-line"><tt class="py-string">def fft1d(a, n=None, axis=-1):</tt> </tt>
<a name="L1105"></a><tt class="py-lineno">1105</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1106"></a><tt class="py-lineno">1106</tt>  <tt class="py-line"><tt class="py-string">    Will return the n point discrete Fourier transform of a. n defaults to the</tt> </tt>
<a name="L1107"></a><tt class="py-lineno">1107</tt>  <tt class="py-line"><tt class="py-string">    length of a. If n is larger than a, then a will be zero-padded to make up</tt> </tt>
<a name="L1108"></a><tt class="py-lineno">1108</tt>  <tt class="py-line"><tt class="py-string">    the difference. If n is smaller than a, the first n items in a will be</tt> </tt>
<a name="L1109"></a><tt class="py-lineno">1109</tt>  <tt class="py-line"><tt class="py-string">    used.</tt> </tt>
<a name="L1110"></a><tt class="py-lineno">1110</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1111"></a><tt class="py-lineno">1111</tt>  <tt class="py-line"><tt class="py-string">    The packing of the result is "standard": If A = fft(a, n), then A[0]</tt> </tt>
<a name="L1112"></a><tt class="py-lineno">1112</tt>  <tt class="py-line"><tt class="py-string">    contains the zero-frequency term, A[1:n/2+1] contains the</tt> </tt>
<a name="L1113"></a><tt class="py-lineno">1113</tt>  <tt class="py-line"><tt class="py-string">    positive-frequency terms, and A[n/2+1:] contains the negative-frequency</tt> </tt>
<a name="L1114"></a><tt class="py-lineno">1114</tt>  <tt class="py-line"><tt class="py-string">    terms, in order of decreasingly negative frequency. So for an 8-point</tt> </tt>
<a name="L1115"></a><tt class="py-lineno">1115</tt>  <tt class="py-line"><tt class="py-string">    transform, the frequencies of the result are [ 0, 1, 2, 3, 4, -3, -2, -1].</tt> </tt>
<a name="L1116"></a><tt class="py-lineno">1116</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1117"></a><tt class="py-lineno">1117</tt>  <tt class="py-line"><tt class="py-string">    This is most efficient for n a power of two. This also stores a cache of</tt> </tt>
<a name="L1118"></a><tt class="py-lineno">1118</tt>  <tt class="py-line"><tt class="py-string">    working memory for different sizes of fft's, so you could theoretically</tt> </tt>
<a name="L1119"></a><tt class="py-lineno">1119</tt>  <tt class="py-line"><tt class="py-string">    run into memory problems if you call this too many times with too many</tt> </tt>
<a name="L1120"></a><tt class="py-lineno">1120</tt>  <tt class="py-line"><tt class="py-string">    different n's.</tt> </tt>
<a name="L1121"></a><tt class="py-lineno">1121</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1122"></a><tt class="py-lineno">1122</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1123"></a><tt class="py-lineno">1123</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1124"></a><tt class="py-lineno">1124</tt>  <tt class="py-line"><tt class="py-string">    return FFT.fft(a, n, axis).astype(N.complex64)</tt> </tt>
<a name="L1125"></a><tt class="py-lineno">1125</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1126"></a><tt class="py-lineno">1126</tt>  <tt class="py-line"><tt class="py-string">def fft2d(a, s=None, axes=(-2,-1)):</tt> </tt>
<a name="L1127"></a><tt class="py-lineno">1127</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1128"></a><tt class="py-lineno">1128</tt>  <tt class="py-line"><tt class="py-string">    The 2d fft of a. This is really just fftnd with different default</tt> </tt>
<a name="L1129"></a><tt class="py-lineno">1129</tt>  <tt class="py-line"><tt class="py-string">    behavior.</tt> </tt>
<a name="L1130"></a><tt class="py-lineno">1130</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1131"></a><tt class="py-lineno">1131</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1132"></a><tt class="py-lineno">1132</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1133"></a><tt class="py-lineno">1133</tt>  <tt class="py-line"><tt class="py-string">    return FFT.fft2d(a,s,axes).astype(N.complex64)</tt> </tt>
<a name="L1134"></a><tt class="py-lineno">1134</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1135"></a><tt class="py-lineno">1135</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1136"></a><tt class="py-lineno">1136</tt>  <tt class="py-line"><tt class="py-string">def fft(a, s=None, axes=None):</tt> </tt>
<a name="L1137"></a><tt class="py-lineno">1137</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1138"></a><tt class="py-lineno">1138</tt>  <tt class="py-line"><tt class="py-string">    The n-dimensional fft of a. s is a sequence giving the shape of the input</tt> </tt>
<a name="L1139"></a><tt class="py-lineno">1139</tt>  <tt class="py-line"><tt class="py-string">    an result along the transformed axes, as n for fft. Results are packed</tt> </tt>
<a name="L1140"></a><tt class="py-lineno">1140</tt>  <tt class="py-line"><tt class="py-string">    analogously to fft: the term for zero frequency in all axes is in the</tt> </tt>
<a name="L1141"></a><tt class="py-lineno">1141</tt>  <tt class="py-line"><tt class="py-string">    low-order corner, while the term for the Nyquist frequency in all axes is</tt> </tt>
<a name="L1142"></a><tt class="py-lineno">1142</tt>  <tt class="py-line"><tt class="py-string">    in the middle.</tt> </tt>
<a name="L1143"></a><tt class="py-lineno">1143</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1144"></a><tt class="py-lineno">1144</tt>  <tt class="py-line"><tt class="py-string">    If neither s nor axes is specified, the transform is taken along all</tt> </tt>
<a name="L1145"></a><tt class="py-lineno">1145</tt>  <tt class="py-line"><tt class="py-string">    axes. If s is specified and axes is not, the last len(s) axes are used.</tt> </tt>
<a name="L1146"></a><tt class="py-lineno">1146</tt>  <tt class="py-line"><tt class="py-string">    If axes are specified and s is not, the input shape along the specified</tt> </tt>
<a name="L1147"></a><tt class="py-lineno">1147</tt>  <tt class="py-line"><tt class="py-string">    axes is used. If s and axes are both specified and are not the same</tt> </tt>
<a name="L1148"></a><tt class="py-lineno">1148</tt>  <tt class="py-line"><tt class="py-string">    length, an exception is raised.</tt> </tt>
<a name="L1149"></a><tt class="py-lineno">1149</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1150"></a><tt class="py-lineno">1150</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1151"></a><tt class="py-lineno">1151</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1152"></a><tt class="py-lineno">1152</tt>  <tt class="py-line"><tt class="py-string">    return FFT.fftnd(a, s, axes).astype(N.complex64)</tt> </tt>
<a name="L1153"></a><tt class="py-lineno">1153</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1154"></a><tt class="py-lineno">1154</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1155"></a><tt class="py-lineno">1155</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1156"></a><tt class="py-lineno">1156</tt>  <tt class="py-line"><tt class="py-string">def ifft1d(a, n=None, axis=-1):</tt> </tt>
<a name="L1157"></a><tt class="py-lineno">1157</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1158"></a><tt class="py-lineno">1158</tt>  <tt class="py-line"><tt class="py-string">    Will return the n point inverse discrete Fourier transform of a.  n</tt> </tt>
<a name="L1159"></a><tt class="py-lineno">1159</tt>  <tt class="py-line"><tt class="py-string">    defaults to the length of a. If n is larger than a, then a will be</tt> </tt>
<a name="L1160"></a><tt class="py-lineno">1160</tt>  <tt class="py-line"><tt class="py-string">    zero-padded to make up the difference. If n is smaller than a, then a will</tt> </tt>
<a name="L1161"></a><tt class="py-lineno">1161</tt>  <tt class="py-line"><tt class="py-string">    be truncated to reduce its size.</tt> </tt>
<a name="L1162"></a><tt class="py-lineno">1162</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1163"></a><tt class="py-lineno">1163</tt>  <tt class="py-line"><tt class="py-string">    The input array is expected to be packed the same way as the output of</tt> </tt>
<a name="L1164"></a><tt class="py-lineno">1164</tt>  <tt class="py-line"><tt class="py-string">    fft, as discussed in its documentation.</tt> </tt>
<a name="L1165"></a><tt class="py-lineno">1165</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1166"></a><tt class="py-lineno">1166</tt>  <tt class="py-line"><tt class="py-string">    This is the inverse of fft: inverse_fft(fft(a)) == a within numerical</tt> </tt>
<a name="L1167"></a><tt class="py-lineno">1167</tt>  <tt class="py-line"><tt class="py-string">    accuracy.</tt> </tt>
<a name="L1168"></a><tt class="py-lineno">1168</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1169"></a><tt class="py-lineno">1169</tt>  <tt class="py-line"><tt class="py-string">    This is most efficient for n a power of two. This also stores a cache of</tt> </tt>
<a name="L1170"></a><tt class="py-lineno">1170</tt>  <tt class="py-line"><tt class="py-string">    working memory for different sizes of fft's, so you could theoretically</tt> </tt>
<a name="L1171"></a><tt class="py-lineno">1171</tt>  <tt class="py-line"><tt class="py-string">    run into memory problems if you call this too many times with too many</tt> </tt>
<a name="L1172"></a><tt class="py-lineno">1172</tt>  <tt class="py-line"><tt class="py-string">    different n's.</tt> </tt>
<a name="L1173"></a><tt class="py-lineno">1173</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1174"></a><tt class="py-lineno">1174</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1175"></a><tt class="py-lineno">1175</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1176"></a><tt class="py-lineno">1176</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1177"></a><tt class="py-lineno">1177</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_fft(a, n, axis).astype(N.complex64)</tt> </tt>
<a name="L1178"></a><tt class="py-lineno">1178</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1179"></a><tt class="py-lineno">1179</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1180"></a><tt class="py-lineno">1180</tt>  <tt class="py-line"><tt class="py-string">def ifft2d(a, s=None, axes=(-2,-1)):</tt> </tt>
<a name="L1181"></a><tt class="py-lineno">1181</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1182"></a><tt class="py-lineno">1182</tt>  <tt class="py-line"><tt class="py-string">    The inverse of fft2d. This is really just ifft with different</tt> </tt>
<a name="L1183"></a><tt class="py-lineno">1183</tt>  <tt class="py-line"><tt class="py-string">    default behavior.</tt> </tt>
<a name="L1184"></a><tt class="py-lineno">1184</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1185"></a><tt class="py-lineno">1185</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1186"></a><tt class="py-lineno">1186</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1187"></a><tt class="py-lineno">1187</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1188"></a><tt class="py-lineno">1188</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_fft2d(a,s,axes)</tt> </tt>
<a name="L1189"></a><tt class="py-lineno">1189</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1190"></a><tt class="py-lineno">1190</tt>  <tt class="py-line"><tt class="py-string">def ifft(a, s=None, axes=None):</tt> </tt>
<a name="L1191"></a><tt class="py-lineno">1191</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1192"></a><tt class="py-lineno">1192</tt>  <tt class="py-line"><tt class="py-string">    The inverse of fft.</tt> </tt>
<a name="L1193"></a><tt class="py-lineno">1193</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1194"></a><tt class="py-lineno">1194</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1195"></a><tt class="py-lineno">1195</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1196"></a><tt class="py-lineno">1196</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1197"></a><tt class="py-lineno">1197</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_fftnd(a, s, axes).astype(N.complex64)</tt> </tt>
<a name="L1198"></a><tt class="py-lineno">1198</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1199"></a><tt class="py-lineno">1199</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1200"></a><tt class="py-lineno">1200</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1201"></a><tt class="py-lineno">1201</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1202"></a><tt class="py-lineno">1202</tt>  <tt class="py-line"><tt class="py-string">def rfft1d(a, n=None, axis=-1):</tt> </tt>
<a name="L1203"></a><tt class="py-lineno">1203</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1204"></a><tt class="py-lineno">1204</tt>  <tt class="py-line"><tt class="py-string">    Will return the n point discrete Fourier transform of the real valued</tt> </tt>
<a name="L1205"></a><tt class="py-lineno">1205</tt>  <tt class="py-line"><tt class="py-string">    array a. n defaults to the length of a. n is the length of the input, not</tt> </tt>
<a name="L1206"></a><tt class="py-lineno">1206</tt>  <tt class="py-line"><tt class="py-string">    the output.</tt> </tt>
<a name="L1207"></a><tt class="py-lineno">1207</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1208"></a><tt class="py-lineno">1208</tt>  <tt class="py-line"><tt class="py-string">    The returned array will be the nonnegative frequency terms of the</tt> </tt>
<a name="L1209"></a><tt class="py-lineno">1209</tt>  <tt class="py-line"><tt class="py-string">    Hermite-symmetric, complex transform of the real array. So for an 8-point</tt> </tt>
<a name="L1210"></a><tt class="py-lineno">1210</tt>  <tt class="py-line"><tt class="py-string">    transform, the frequencies in the result are [ 0, 1, 2, 3, 4]. The first</tt> </tt>
<a name="L1211"></a><tt class="py-lineno">1211</tt>  <tt class="py-line"><tt class="py-string">    term will be real, as will the last if n is even. The negative frequency</tt> </tt>
<a name="L1212"></a><tt class="py-lineno">1212</tt>  <tt class="py-line"><tt class="py-string">    terms are not needed because they are the complex conjugates of the</tt> </tt>
<a name="L1213"></a><tt class="py-lineno">1213</tt>  <tt class="py-line"><tt class="py-string">    positive frequency terms. (This is what I mean when I say</tt> </tt>
<a name="L1214"></a><tt class="py-lineno">1214</tt>  <tt class="py-line"><tt class="py-string">    Hermite-symmetric.)</tt> </tt>
<a name="L1215"></a><tt class="py-lineno">1215</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1216"></a><tt class="py-lineno">1216</tt>  <tt class="py-line"><tt class="py-string">    This is most efficient for n a power of two.</tt> </tt>
<a name="L1217"></a><tt class="py-lineno">1217</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1218"></a><tt class="py-lineno">1218</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1219"></a><tt class="py-lineno">1219</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1220"></a><tt class="py-lineno">1220</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1221"></a><tt class="py-lineno">1221</tt>  <tt class="py-line"><tt class="py-string">    return FFT.real_fft(a, n, axis).astype(N.complex64)</tt> </tt>
<a name="L1222"></a><tt class="py-lineno">1222</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1223"></a><tt class="py-lineno">1223</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1224"></a><tt class="py-lineno">1224</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1225"></a><tt class="py-lineno">1225</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1226"></a><tt class="py-lineno">1226</tt>  <tt class="py-line"><tt class="py-string">def rfft2d(a, s=None, axes=(-2,-1)):</tt> </tt>
<a name="L1227"></a><tt class="py-lineno">1227</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1228"></a><tt class="py-lineno">1228</tt>  <tt class="py-line"><tt class="py-string">    The 2d fft of the real valued array a. This is really just rfftnd with</tt> </tt>
<a name="L1229"></a><tt class="py-lineno">1229</tt>  <tt class="py-line"><tt class="py-string">    different default behavior.</tt> </tt>
<a name="L1230"></a><tt class="py-lineno">1230</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1231"></a><tt class="py-lineno">1231</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1232"></a><tt class="py-lineno">1232</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1233"></a><tt class="py-lineno">1233</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1234"></a><tt class="py-lineno">1234</tt>  <tt class="py-line"><tt class="py-string">    return FFT.real_fftnd(a, s, axes).astype(N.complex64)</tt> </tt>
<a name="L1235"></a><tt class="py-lineno">1235</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1236"></a><tt class="py-lineno">1236</tt>  <tt class="py-line"><tt class="py-string">def rfft(a, s=None, axes=None):</tt> </tt>
<a name="L1237"></a><tt class="py-lineno">1237</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1238"></a><tt class="py-lineno">1238</tt>  <tt class="py-line"><tt class="py-string">    The n-dimensional discrete Fourier transform of a real array a. A real</tt> </tt>
<a name="L1239"></a><tt class="py-lineno">1239</tt>  <tt class="py-line"><tt class="py-string">    transform as real_fft is performed along the axis specified by the last</tt> </tt>
<a name="L1240"></a><tt class="py-lineno">1240</tt>  <tt class="py-line"><tt class="py-string">    element of axes, then complex transforms as fft are performed along the</tt> </tt>
<a name="L1241"></a><tt class="py-lineno">1241</tt>  <tt class="py-line"><tt class="py-string">    other axes.</tt> </tt>
<a name="L1242"></a><tt class="py-lineno">1242</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1243"></a><tt class="py-lineno">1243</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1244"></a><tt class="py-lineno">1244</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1245"></a><tt class="py-lineno">1245</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1246"></a><tt class="py-lineno">1246</tt>  <tt class="py-line"><tt class="py-string">    return FFT.real_fftnd(a, s, axes).astype(N.complex64)</tt> </tt>
<a name="L1247"></a><tt class="py-lineno">1247</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1248"></a><tt class="py-lineno">1248</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1249"></a><tt class="py-lineno">1249</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1250"></a><tt class="py-lineno">1250</tt>  <tt class="py-line"><tt class="py-string">def irfft1d(a, n=None, axis=-1):</tt> </tt>
<a name="L1251"></a><tt class="py-lineno">1251</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1252"></a><tt class="py-lineno">1252</tt>  <tt class="py-line"><tt class="py-string">    Will return the real valued n point inverse discrete Fourier transform of</tt> </tt>
<a name="L1253"></a><tt class="py-lineno">1253</tt>  <tt class="py-line"><tt class="py-string">    a, where a contains the nonnegative frequency terms of a Hermite-symmetric</tt> </tt>
<a name="L1254"></a><tt class="py-lineno">1254</tt>  <tt class="py-line"><tt class="py-string">    sequence. n is the length of the result, not the input. If n is not</tt> </tt>
<a name="L1255"></a><tt class="py-lineno">1255</tt>  <tt class="py-line"><tt class="py-string">    supplied, the default is 2*(len(a)-1). If you want the length of the</tt> </tt>
<a name="L1256"></a><tt class="py-lineno">1256</tt>  <tt class="py-line"><tt class="py-string">    result to be odd, you have to say so.</tt> </tt>
<a name="L1257"></a><tt class="py-lineno">1257</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1258"></a><tt class="py-lineno">1258</tt>  <tt class="py-line"><tt class="py-string">    If you specify an n such that a must be zero-padded or truncated, the</tt> </tt>
<a name="L1259"></a><tt class="py-lineno">1259</tt>  <tt class="py-line"><tt class="py-string">    extra/removed values will be added/removed at high frequencies. One can</tt> </tt>
<a name="L1260"></a><tt class="py-lineno">1260</tt>  <tt class="py-line"><tt class="py-string">    thus resample a series to m points via Fourier interpolation by: a_resamp</tt> </tt>
<a name="L1261"></a><tt class="py-lineno">1261</tt>  <tt class="py-line"><tt class="py-string">    = inverse_real_fft(real_fft(a), m).</tt> </tt>
<a name="L1262"></a><tt class="py-lineno">1262</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1263"></a><tt class="py-lineno">1263</tt>  <tt class="py-line"><tt class="py-string">    This is the inverse of real_fft:</tt> </tt>
<a name="L1264"></a><tt class="py-lineno">1264</tt>  <tt class="py-line"><tt class="py-string">    inverse_real_fft(real_fft(a), len(a)) == a</tt> </tt>
<a name="L1265"></a><tt class="py-lineno">1265</tt>  <tt class="py-line"><tt class="py-string">    within numerical accuracy.</tt> </tt>
<a name="L1266"></a><tt class="py-lineno">1266</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1267"></a><tt class="py-lineno">1267</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1268"></a><tt class="py-lineno">1268</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1269"></a><tt class="py-lineno">1269</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1270"></a><tt class="py-lineno">1270</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_real_fft(a,n,axis).astype(N.float32)</tt> </tt>
<a name="L1271"></a><tt class="py-lineno">1271</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1272"></a><tt class="py-lineno">1272</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1273"></a><tt class="py-lineno">1273</tt>  <tt class="py-line"><tt class="py-string">def irfft2d(a, s=None, axes=(-2,-1)):</tt> </tt>
<a name="L1274"></a><tt class="py-lineno">1274</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1275"></a><tt class="py-lineno">1275</tt>  <tt class="py-line"><tt class="py-string">    The inverse of rfft2d. This is really just irfft with</tt> </tt>
<a name="L1276"></a><tt class="py-lineno">1276</tt>  <tt class="py-line"><tt class="py-string">    different default behavior.</tt> </tt>
<a name="L1277"></a><tt class="py-lineno">1277</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1278"></a><tt class="py-lineno">1278</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1279"></a><tt class="py-lineno">1279</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_real_fftnd(a, s, axes).astype(N.float32)</tt> </tt>
<a name="L1280"></a><tt class="py-lineno">1280</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1281"></a><tt class="py-lineno">1281</tt>  <tt class="py-line"><tt class="py-string">def irfft(a, s=None, axes=None):</tt> </tt>
<a name="L1282"></a><tt class="py-lineno">1282</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1283"></a><tt class="py-lineno">1283</tt>  <tt class="py-line"><tt class="py-string">    The inverse of rfft. The transform implemented in ifft is</tt> </tt>
<a name="L1284"></a><tt class="py-lineno">1284</tt>  <tt class="py-line"><tt class="py-string">    applied along all axes but the last, then the transform implemented in</tt> </tt>
<a name="L1285"></a><tt class="py-lineno">1285</tt>  <tt class="py-line"><tt class="py-string">    inverse_real_fft is performed along the last axis. As with</tt> </tt>
<a name="L1286"></a><tt class="py-lineno">1286</tt>  <tt class="py-line"><tt class="py-string">    inverse_real_fft, the length of the result along that axis must be</tt> </tt>
<a name="L1287"></a><tt class="py-lineno">1287</tt>  <tt class="py-line"><tt class="py-string">    specified if it is to be odd.</tt> </tt>
<a name="L1288"></a><tt class="py-lineno">1288</tt>  <tt class="py-line"><tt class="py-string"></tt> </tt>
<a name="L1289"></a><tt class="py-lineno">1289</tt>  <tt class="py-line"><tt class="py-string">    Seb converts result to single prec.</tt> </tt>
<a name="L1290"></a><tt class="py-lineno">1290</tt>  <tt class="py-line"><tt class="py-string">    """</tt> </tt>
<a name="L1291"></a><tt class="py-lineno">1291</tt>  <tt class="py-line"><tt class="py-string">    </tt> </tt>
<a name="L1292"></a><tt class="py-lineno">1292</tt>  <tt class="py-line"><tt class="py-string">    return FFT.inverse_real_fftnd(a,s,axes).astype(N.float32)</tt> </tt>
<a name="L1293"></a><tt class="py-lineno">1293</tt>  <tt class="py-line"><tt class="py-string">'''</tt> </tt>
<a name="L1294"></a><tt class="py-lineno">1294</tt>  <tt class="py-line"> </tt>
<a name="L1295"></a><tt class="py-lineno">1295</tt>  <tt class="py-line"> </tt>
<a name="L1296"></a><tt class="py-lineno">1296</tt>  <tt class="py-line"> </tt>
<a name="convolve"></a><div id="convolve-def"><a name="L1297"></a><tt class="py-lineno">1297</tt> <a class="py-toggle" href="#" id="convolve-toggle" onclick="return toggle('convolve');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#convolve">convolve</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt><tt class="py-param">b</tt><tt class="py-op">,</tt> <tt class="py-param">conj</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">killDC</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-param">minFdtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="convolve-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="convolve-expanded"><a name="L1298"></a><tt class="py-lineno">1298</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1299"></a><tt class="py-lineno">1299</tt>  <tt class="py-line"><tt class="py-docstring">    calculate convolution of `a` and `b`</tt> </tt>
<a name="L1300"></a><tt class="py-lineno">1300</tt>  <tt class="py-line"><tt class="py-docstring">       (using rfft, multiplication, then irfft)</tt> </tt>
<a name="L1301"></a><tt class="py-lineno">1301</tt>  <tt class="py-line"><tt class="py-docstring">    if  `conj` is true:</tt> </tt>
<a name="L1302"></a><tt class="py-lineno">1302</tt>  <tt class="py-line"><tt class="py-docstring">       calculate correlation instead ! </tt> </tt>
<a name="L1303"></a><tt class="py-lineno">1303</tt>  <tt class="py-line"><tt class="py-docstring">       (after the fft the `bf` is conjucated)</tt> </tt>
<a name="L1304"></a><tt class="py-lineno">1304</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1305"></a><tt class="py-lineno">1305</tt>  <tt class="py-line"><tt class="py-docstring">    a and b  have to be same shape</tt> </tt>
<a name="L1306"></a><tt class="py-lineno">1306</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1307"></a><tt class="py-lineno">1307</tt>  <tt class="py-line"><tt class="py-docstring">    if `a` or `b` are not dtype of float32 or float64</tt> </tt>
<a name="L1308"></a><tt class="py-lineno">1308</tt>  <tt class="py-line"><tt class="py-docstring">    they are converted to minFdtype</tt> </tt>
<a name="L1309"></a><tt class="py-lineno">1309</tt>  <tt class="py-line"><tt class="py-docstring">       unless one of `a` or `b` is float64, then float64 is used</tt> </tt>
<a name="L1310"></a><tt class="py-lineno">1310</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1311"></a><tt class="py-lineno">1311</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-564" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-564', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt> <tt class="py-keyword">or</tt> \ </tt>
<a name="L1312"></a><tt class="py-lineno">1312</tt>  <tt class="py-line">       <tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-565" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-565', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-op">==</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">:</tt> </tt>
<a name="L1313"></a><tt class="py-lineno">1313</tt>  <tt class="py-line">        <tt class="py-name">minFdtype</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt> </tt>
<a name="L1314"></a><tt class="py-lineno">1314</tt>  <tt class="py-line"> </tt>
<a name="L1315"></a><tt class="py-lineno">1315</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-566" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-566', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1316"></a><tt class="py-lineno">1316</tt>  <tt class="py-line">        <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">minFdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L1317"></a><tt class="py-lineno">1317</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">b</tt><tt class="py-op">.</tt><tt id="link-567" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-567', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">.</tt><tt class="py-name">type</tt> <tt class="py-keyword">not</tt> <tt class="py-keyword">in</tt> <tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float64</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1318"></a><tt class="py-lineno">1318</tt>  <tt class="py-line">        <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">,</tt> <tt class="py-name">minFdtype</tt><tt class="py-op">)</tt> </tt>
<a name="L1319"></a><tt class="py-lineno">1319</tt>  <tt class="py-line">     </tt>
<a name="L1320"></a><tt class="py-lineno">1320</tt>  <tt class="py-line"> </tt>
<a name="L1321"></a><tt class="py-lineno">1321</tt>  <tt class="py-line">    <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt id="link-568" class="py-name"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-568', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L1322"></a><tt class="py-lineno">1322</tt>  <tt class="py-line">    <tt class="py-name">bf</tt> <tt class="py-op">=</tt> <tt id="link-569" class="py-name"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-569', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">)</tt> </tt>
<a name="L1323"></a><tt class="py-lineno">1323</tt>  <tt class="py-line"> </tt>
<a name="L1324"></a><tt class="py-lineno">1324</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">killDC</tt><tt class="py-op">:</tt> </tt>
<a name="L1325"></a><tt class="py-lineno">1325</tt>  <tt class="py-line">        <tt class="py-name">af</tt><tt class="py-op">.</tt><tt class="py-name">flat</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L1326"></a><tt class="py-lineno">1326</tt>  <tt class="py-line">        <tt class="py-name">bf</tt><tt class="py-op">.</tt><tt class="py-name">flat</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L1327"></a><tt class="py-lineno">1327</tt>  <tt class="py-line"> </tt>
<a name="L1328"></a><tt class="py-lineno">1328</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt id="link-570" class="py-name" targets="Variable Priithon.mandel.conj=Priithon.mandel-module.html#conj,Variable Priithon.plt.conj=Priithon.plt-module.html#conj,Variable Priithon.plt.interface.conj=Priithon.plt.interface-module.html#conj,Variable Priithon.plt.plot_objects.conj=Priithon.plt.plot_objects-module.html#conj,Variable Priithon.plt.plot_utility.conj=Priithon.plt.plot_utility-module.html#conj,Variable Priithon.plt.wxplt.conj=Priithon.plt.wxplt-module.html#conj"><a title="Priithon.mandel.conj
Priithon.plt.conj
Priithon.plt.interface.conj
Priithon.plt.plot_objects.conj
Priithon.plt.plot_utility.conj
Priithon.plt.wxplt.conj" class="py-name" href="#" onclick="return doclink('link-570', 'conj', 'link-570');">conj</a></tt><tt class="py-op">:</tt> </tt>
<a name="L1329"></a><tt class="py-lineno">1329</tt>  <tt class="py-line">        <tt class="py-name">bf</tt> <tt class="py-op">=</tt> <tt class="py-name">bf</tt><tt class="py-op">.</tt><tt id="link-571" class="py-name" targets="Variable Priithon.mandel.conjugate=Priithon.mandel-module.html#conjugate,Variable Priithon.plt.conjugate=Priithon.plt-module.html#conjugate,Variable Priithon.plt.interface.conjugate=Priithon.plt.interface-module.html#conjugate,Variable Priithon.plt.plot_objects.conjugate=Priithon.plt.plot_objects-module.html#conjugate,Variable Priithon.plt.plot_utility.conjugate=Priithon.plt.plot_utility-module.html#conjugate,Variable Priithon.plt.wxplt.conjugate=Priithon.plt.wxplt-module.html#conjugate"><a title="Priithon.mandel.conjugate
Priithon.plt.conjugate
Priithon.plt.interface.conjugate
Priithon.plt.plot_objects.conjugate
Priithon.plt.plot_utility.conjugate
Priithon.plt.wxplt.conjugate" class="py-name" href="#" onclick="return doclink('link-571', 'conjugate', 'link-571');">conjugate</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L1330"></a><tt class="py-lineno">1330</tt>  <tt class="py-line"> </tt>
<a name="L1331"></a><tt class="py-lineno">1331</tt>  <tt class="py-line">    <tt class="py-name">cf</tt> <tt class="py-op">=</tt> <tt class="py-name">af</tt> <tt class="py-op">*</tt> <tt class="py-name">bf</tt> </tt>
<a name="L1332"></a><tt class="py-lineno">1332</tt>  <tt class="py-line"> </tt>
<a name="L1333"></a><tt class="py-lineno">1333</tt>  <tt class="py-line">    <tt class="py-name">c</tt> <tt class="py-op">=</tt> <tt id="link-572" class="py-name"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-572', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt class="py-name">cf</tt><tt class="py-op">)</tt> </tt>
<a name="L1334"></a><tt class="py-lineno">1334</tt>  <tt class="py-line"> </tt>
<a name="L1335"></a><tt class="py-lineno">1335</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">c</tt> </tt>
</div><a name="L1336"></a><tt class="py-lineno">1336</tt>  <tt class="py-line"> </tt>
<a name="L1337"></a><tt class="py-lineno">1337</tt>  <tt class="py-line"> </tt>
<a name="L1338"></a><tt class="py-lineno">1338</tt>  <tt class="py-line"> </tt>
<a name="L1339"></a><tt class="py-lineno">1339</tt>  <tt class="py-line"> </tt>
<a name="drawLine"></a><div id="drawLine-def"><a name="L1340"></a><tt class="py-lineno">1340</tt> <a class="py-toggle" href="#" id="drawLine-toggle" onclick="return toggle('drawLine');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#drawLine">drawLine</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">p0</tt><tt class="py-op">,</tt> <tt class="py-param">p1</tt><tt class="py-op">,</tt> <tt class="py-param">val</tt><tt class="py-op">=</tt><tt class="py-number">1.</tt><tt class="py-op">,</tt> <tt class="py-param">includeLast</tt><tt class="py-op">=</tt><tt id="link-573" class="py-name"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-573', 'True', 'link-409');">True</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="drawLine-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="drawLine-expanded"><a name="L1341"></a><tt class="py-lineno">1341</tt>  <tt class="py-line">    <tt class="py-name">p</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">p0</tt><tt class="py-op">,</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
<a name="L1342"></a><tt class="py-lineno">1342</tt>  <tt class="py-line">    <tt class="py-name">p1</tt><tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">asarray</tt><tt class="py-op">(</tt><tt class="py-name">p1</tt><tt class="py-op">)</tt> </tt>
<a name="L1343"></a><tt class="py-lineno">1343</tt>  <tt class="py-line">    <tt class="py-name">delta</tt> <tt class="py-op">=</tt> <tt class="py-name">p1</tt><tt class="py-op">-</tt><tt class="py-name">p</tt> </tt>
<a name="L1344"></a><tt class="py-lineno">1344</tt>  <tt class="py-line">    <tt class="py-name">steppingAxis</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt><tt class="py-op">.</tt><tt class="py-name">argmax</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L1345"></a><tt class="py-lineno">1345</tt>  <tt class="py-line">    <tt class="py-name">iNum</tt>  <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">delta</tt><tt class="py-op">[</tt><tt class="py-name">steppingAxis</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L1346"></a><tt class="py-lineno">1346</tt>  <tt class="py-line">    <tt class="py-name">deltaStep</tt> <tt class="py-op">=</tt> <tt class="py-name">delta</tt> <tt class="py-op">/</tt><tt class="py-name">delta</tt><tt class="py-op">[</tt><tt class="py-name">steppingAxis</tt><tt class="py-op">]</tt> </tt>
<a name="L1347"></a><tt class="py-lineno">1347</tt>  <tt class="py-line">     </tt>
<a name="L1348"></a><tt class="py-lineno">1348</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt id="link-574" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-574', 'i', 'link-37');">i</a></tt> <tt class="py-keyword">in</tt> <tt id="link-575" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-575', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">iNum</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1349"></a><tt class="py-lineno">1349</tt>  <tt class="py-line">        <tt class="py-name">a</tt><tt class="py-op">[</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">+</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int32</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">val</tt> </tt>
<a name="L1350"></a><tt class="py-lineno">1350</tt>  <tt class="py-line">        <tt class="py-name">p</tt> <tt class="py-op">+=</tt> <tt class="py-name">deltaStep</tt> </tt>
<a name="L1351"></a><tt class="py-lineno">1351</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">includeLast</tt><tt class="py-op">:</tt> </tt>
<a name="L1352"></a><tt class="py-lineno">1352</tt>  <tt class="py-line">        <tt class="py-name">a</tt><tt class="py-op">[</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">+</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">int32</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">]</tt> <tt class="py-op">+=</tt> <tt class="py-name">val</tt> </tt>
</div><a name="L1353"></a><tt class="py-lineno">1353</tt>  <tt class="py-line"> </tt>
<a name="drawHexPattern2d"></a><div id="drawHexPattern2d-def"><a name="L1354"></a><tt class="py-lineno">1354</tt> <a class="py-toggle" href="#" id="drawHexPattern2d-toggle" onclick="return toggle('drawHexPattern2d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#drawHexPattern2d">drawHexPattern2d</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">d</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">,</tt> <tt class="py-param">sizeYX</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">yx0</tt><tt class="py-op">=</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-param">val</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="drawHexPattern2d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="drawHexPattern2d-expanded"><a name="L1355"></a><tt class="py-lineno">1355</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1356"></a><tt class="py-lineno">1356</tt>  <tt class="py-line"><tt class="py-docstring">    fill (each section 2d of) a with pixel value 'val'</tt> </tt>
<a name="L1357"></a><tt class="py-lineno">1357</tt>  <tt class="py-line"><tt class="py-docstring">    at the (rounded) pixel-position of a hexagonal grid</tt> </tt>
<a name="L1358"></a><tt class="py-lineno">1358</tt>  <tt class="py-line"><tt class="py-docstring">    grid size is d</tt> </tt>
<a name="L1359"></a><tt class="py-lineno">1359</tt>  <tt class="py-line"><tt class="py-docstring">    grid strats at corner pixel yx0</tt> </tt>
<a name="L1360"></a><tt class="py-lineno">1360</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1361"></a><tt class="py-lineno">1361</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">sizeYX</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L1362"></a><tt class="py-lineno">1362</tt>  <tt class="py-line">        <tt class="py-name">sizeYX</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-576" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-576', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt id="link-577" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.dtype" class="py-name" href="#" onclick="return doclink('link-577', 'dtype', 'link-12');">dtype</a></tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-name">yx0</tt> </tt>
<a name="L1363"></a><tt class="py-lineno">1363</tt>  <tt class="py-line">         </tt>
<a name="L1364"></a><tt class="py-lineno">1364</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt id="link-578" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-578', 'i', 'link-37');">i</a></tt> <tt class="py-keyword">in</tt> <tt id="link-579" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-579', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">sizeYX</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">d</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1365"></a><tt class="py-lineno">1365</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">j</tt> <tt class="py-keyword">in</tt> <tt id="link-580" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-580', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">sizeYX</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">3.</tt><tt class="py-op">**</tt><tt class="py-number">.5</tt><tt class="py-op">/</tt><tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">d</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1366"></a><tt class="py-lineno">1366</tt>  <tt class="py-line">            <tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-number">3</tt><tt class="py-op">**</tt><tt class="py-number">.5</tt><tt class="py-op">/</tt><tt class="py-number">2</tt> <tt class="py-op">*</tt> <tt class="py-name">d</tt> <tt class="py-op">*</tt> <tt class="py-name">j</tt> </tt>
<a name="L1367"></a><tt class="py-lineno">1367</tt>  <tt class="py-line">            <tt id="link-581" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-581', 'x', 'link-120');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">d</tt><tt class="py-op">*</tt><tt id="link-582" class="py-name"><a title="Priithon.viewer.i
Priithon.viewer2.i
Priithon.viewerCommon.i" class="py-name" href="#" onclick="return doclink('link-582', 'i', 'link-37');">i</a></tt> <tt class="py-op">+</tt> <tt class="py-name">d</tt><tt class="py-op">*</tt><tt class="py-number">.5</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">-</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-name">j</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-number">.5</tt> </tt>
<a name="L1368"></a><tt class="py-lineno">1368</tt>  <tt class="py-line">            <tt class="py-name">yy</tt><tt class="py-op">,</tt><tt class="py-name">xx</tt><tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">yx0</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-name">y</tt><tt class="py-op">+</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">yx0</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt id="link-583" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-583', 'x', 'link-120');">x</a></tt><tt class="py-op">+</tt><tt class="py-number">.5</tt><tt class="py-op">)</tt> </tt>
<a name="L1369"></a><tt class="py-lineno">1369</tt>  <tt class="py-line">            <tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">.</tt><tt class="py-op">,</tt><tt class="py-name">yy</tt><tt class="py-op">,</tt><tt class="py-name">xx</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">val</tt> </tt>
</div><a name="L1370"></a><tt class="py-lineno">1370</tt>  <tt class="py-line"> </tt>
<a name="L1371"></a><tt class="py-lineno">1371</tt>  <tt class="py-line"> </tt>
<a name="zzern_r"></a><div id="zzern_r-def"><a name="L1372"></a><tt class="py-lineno">1372</tt> <a class="py-toggle" href="#" id="zzern_r-toggle" onclick="return toggle('zzern_r');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzern_r">zzern_r</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt><tt class="py-param">m</tt><tt class="py-op">,</tt><tt class="py-param">r</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzern_r-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzern_r-expanded"><a name="L1373"></a><tt class="py-lineno">1373</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-op">.</tt><tt id="link-584" class="py-name"><a title="Priithon.useful" class="py-name" href="#" onclick="return doclink('link-584', 'useful', 'link-94');">useful</a></tt> <tt class="py-keyword">import</tt> <tt class="py-name">fac</tt> </tt>
<a name="L1374"></a><tt class="py-lineno">1374</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">n</tt><tt class="py-op">==</tt><tt class="py-name">m</tt><tt class="py-op">==</tt><tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L1375"></a><tt class="py-lineno">1375</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-number">1</tt> </tt>
<a name="L1376"></a><tt class="py-lineno">1376</tt>  <tt class="py-line">    <tt class="py-name">rr</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L1377"></a><tt class="py-lineno">1377</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">s</tt> <tt class="py-keyword">in</tt> <tt id="link-585" class="py-name"><a title="Priithon.plt.plot_objects.axis_object.range" class="py-name" href="#" onclick="return doclink('link-585', 'range', 'link-38');">range</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-name">m</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1378"></a><tt class="py-lineno">1378</tt>  <tt class="py-line">        <tt class="py-name">rr</tt> <tt class="py-op">+=</tt> <tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-name">s</tt> <tt class="py-op">*</tt> <tt class="py-name">fac</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-name">m</tt><tt class="py-op">-</tt><tt class="py-name">s</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt>               \ </tt>
<a name="L1379"></a><tt class="py-lineno">1379</tt>  <tt class="py-line">             <tt class="py-op">(</tt><tt class="py-name">fac</tt><tt class="py-op">(</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">fac</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">fac</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-name">m</tt><tt class="py-op">-</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt>   \ </tt>
<a name="L1380"></a><tt class="py-lineno">1380</tt>  <tt class="py-line">             <tt class="py-name">r</tt><tt class="py-op">**</tt><tt class="py-op">(</tt><tt class="py-number">2</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">-</tt><tt class="py-name">s</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-name">m</tt><tt class="py-op">)</tt> </tt>
<a name="L1381"></a><tt class="py-lineno">1381</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">rr</tt> </tt>
</div><a name="L1382"></a><tt class="py-lineno">1382</tt>  <tt class="py-line"> </tt>
<a name="zzern_rcos"></a><div id="zzern_rcos-def"><a name="L1383"></a><tt class="py-lineno">1383</tt> <a class="py-toggle" href="#" id="zzern_rcos-toggle" onclick="return toggle('zzern_rcos');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzern_rcos">zzern_rcos</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt><tt class="py-param">m</tt><tt class="py-op">,</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">phi</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzern_rcos-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzern_rcos-expanded"><a name="L1384"></a><tt class="py-lineno">1384</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-586" class="py-name" targets="Function Priithon.fftfuncs.zzern_r()=Priithon.fftfuncs-module.html#zzern_r"><a title="Priithon.fftfuncs.zzern_r" class="py-name" href="#" onclick="return doclink('link-586', 'zzern_r', 'link-586');">zzern_r</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-587" class="py-name"><a title="Priithon.mandel.cos
Priithon.plt.cos
Priithon.plt.interface.cos
Priithon.plt.plot_objects.cos
Priithon.plt.plot_utility.cos
Priithon.plt.wxplt.cos" class="py-name" href="#" onclick="return doclink('link-587', 'cos', 'link-298');">cos</a></tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">*</tt><tt class="py-name">phi</tt><tt class="py-op">)</tt> </tt>
</div><a name="zzern_rsin"></a><div id="zzern_rsin-def"><a name="L1385"></a><tt class="py-lineno">1385</tt> <a class="py-toggle" href="#" id="zzern_rsin-toggle" onclick="return toggle('zzern_rsin');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzern_rsin">zzern_rsin</a><tt class="py-op">(</tt><tt class="py-param">n</tt><tt class="py-op">,</tt><tt class="py-param">m</tt><tt class="py-op">,</tt><tt class="py-param">r</tt><tt class="py-op">,</tt> <tt class="py-param">phi</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzern_rsin-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzern_rsin-expanded"><a name="L1386"></a><tt class="py-lineno">1386</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-588" class="py-name"><a title="Priithon.fftfuncs.zzern_r" class="py-name" href="#" onclick="return doclink('link-588', 'zzern_r', 'link-586');">zzern_r</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt><tt class="py-name">r</tt><tt class="py-op">)</tt> <tt class="py-op">*</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-589" class="py-name"><a title="Priithon.mandel.sin
Priithon.plt.interface.sin
Priithon.plt.plot_objects.sin
Priithon.plt.plot_utility.sin
Priithon.plt.sin
Priithon.plt.wxplt.sin" class="py-name" href="#" onclick="return doclink('link-589', 'sin', 'link-307');">sin</a></tt><tt class="py-op">(</tt><tt class="py-name">m</tt><tt class="py-op">*</tt><tt class="py-name">phi</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1387"></a><tt class="py-lineno">1387</tt>  <tt class="py-line"> </tt>
<a name="L1388"></a><tt class="py-lineno">1388</tt>  <tt class="py-line"> </tt>
<a name="zzernikeNMCosArr"></a><div id="zzernikeNMCosArr-def"><a name="L1389"></a><tt class="py-lineno">1389</tt> <a class="py-toggle" href="#" id="zzernikeNMCosArr-toggle" onclick="return toggle('zzernikeNMCosArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzernikeNMCosArr">zzernikeNMCosArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-590" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-590', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">n</tt><tt class="py-op">=</tt><tt class="py-number">3</tt><tt class="py-op">,</tt><tt class="py-param">m</tt><tt class="py-op">=</tt><tt class="py-number">3</tt><tt class="py-op">,</tt> <tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzernikeNMCosArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzernikeNMCosArr-expanded"><a name="L1390"></a><tt class="py-lineno">1390</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">radius</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L1391"></a><tt class="py-lineno">1391</tt>  <tt class="py-line">        <tt class="py-name">radius</tt> <tt class="py-op">=</tt> <tt class="py-name">reduce</tt><tt class="py-op">(</tt><tt id="link-591" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-591', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt id="link-592" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-592', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.0</tt> </tt>
<a name="L1392"></a><tt class="py-lineno">1392</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">crop</tt><tt class="py-op">:</tt> </tt>
<a name="L1393"></a><tt class="py-lineno">1393</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-593" class="py-name" targets="Function Priithon.fftfuncs.radialPhiArr()=Priithon.fftfuncs-module.html#radialPhiArr"><a title="Priithon.fftfuncs.radialPhiArr" class="py-name" href="#" onclick="return doclink('link-593', 'radialPhiArr', 'link-593');">radialPhiArr</a></tt><tt class="py-op">(</tt><tt id="link-594" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-594', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1394"></a><tt class="py-lineno">1394</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> </tt>
<a name="L1395"></a><tt class="py-lineno">1395</tt>  <tt class="py-line">                                                 <tt id="link-595" class="py-name" targets="Function Priithon.fftfuncs.zzern_rcos()=Priithon.fftfuncs-module.html#zzern_rcos"><a title="Priithon.fftfuncs.zzern_rcos" class="py-name" href="#" onclick="return doclink('link-595', 'zzern_rcos', 'link-595');">zzern_rcos</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L1396"></a><tt class="py-lineno">1396</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1397"></a><tt class="py-lineno">1397</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-596" class="py-name"><a title="Priithon.fftfuncs.radialPhiArr" class="py-name" href="#" onclick="return doclink('link-596', 'radialPhiArr', 'link-593');">radialPhiArr</a></tt><tt class="py-op">(</tt><tt id="link-597" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-597', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1398"></a><tt class="py-lineno">1398</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">:</tt> <tt id="link-598" class="py-name"><a title="Priithon.fftfuncs.zzern_rcos" class="py-name" href="#" onclick="return doclink('link-598', 'zzern_rcos', 'link-595');">zzern_rcos</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1399"></a><tt class="py-lineno">1399</tt>  <tt class="py-line"> </tt>
<a name="zzernikeNMSinArr"></a><div id="zzernikeNMSinArr-def"><a name="L1400"></a><tt class="py-lineno">1400</tt> <a class="py-toggle" href="#" id="zzernikeNMSinArr-toggle" onclick="return toggle('zzernikeNMSinArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzernikeNMSinArr">zzernikeNMSinArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-599" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-599', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">n</tt><tt class="py-op">=</tt><tt class="py-number">3</tt><tt class="py-op">,</tt><tt class="py-param">m</tt><tt class="py-op">=</tt><tt class="py-number">3</tt><tt class="py-op">,</tt> <tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzernikeNMSinArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzernikeNMSinArr-expanded"><a name="L1401"></a><tt class="py-lineno">1401</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">radius</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L1402"></a><tt class="py-lineno">1402</tt>  <tt class="py-line">        <tt class="py-name">radius</tt> <tt class="py-op">=</tt> <tt class="py-name">reduce</tt><tt class="py-op">(</tt><tt id="link-600" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-600', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt id="link-601" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-601', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.0</tt> </tt>
<a name="L1403"></a><tt class="py-lineno">1403</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">crop</tt><tt class="py-op">:</tt> </tt>
<a name="L1404"></a><tt class="py-lineno">1404</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-602" class="py-name"><a title="Priithon.fftfuncs.radialPhiArr" class="py-name" href="#" onclick="return doclink('link-602', 'radialPhiArr', 'link-593');">radialPhiArr</a></tt><tt class="py-op">(</tt><tt id="link-603" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-603', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1405"></a><tt class="py-lineno">1405</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> </tt>
<a name="L1406"></a><tt class="py-lineno">1406</tt>  <tt class="py-line">                                                 <tt id="link-604" class="py-name" targets="Function Priithon.fftfuncs.zzern_rsin()=Priithon.fftfuncs-module.html#zzern_rsin"><a title="Priithon.fftfuncs.zzern_rsin" class="py-name" href="#" onclick="return doclink('link-604', 'zzern_rsin', 'link-604');">zzern_rsin</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L1407"></a><tt class="py-lineno">1407</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1408"></a><tt class="py-lineno">1408</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-605" class="py-name"><a title="Priithon.fftfuncs.radialPhiArr" class="py-name" href="#" onclick="return doclink('link-605', 'radialPhiArr', 'link-593');">radialPhiArr</a></tt><tt class="py-op">(</tt><tt id="link-606" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-606', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1409"></a><tt class="py-lineno">1409</tt>  <tt class="py-line">                            <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">:</tt> <tt id="link-607" class="py-name"><a title="Priithon.fftfuncs.zzern_rsin" class="py-name" href="#" onclick="return doclink('link-607', 'zzern_rsin', 'link-604');">zzern_rsin</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt><tt class="py-name">p</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1410"></a><tt class="py-lineno">1410</tt>  <tt class="py-line"> </tt>
<a name="zzernikeN0Arr"></a><div id="zzernikeN0Arr-def"><a name="L1411"></a><tt class="py-lineno">1411</tt> <a class="py-toggle" href="#" id="zzernikeN0Arr-toggle" onclick="return toggle('zzernikeN0Arr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzernikeN0Arr">zzernikeN0Arr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-608" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-608', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">n</tt><tt class="py-op">=</tt><tt class="py-number">3</tt><tt class="py-op">,</tt> <tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzernikeN0Arr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzernikeN0Arr-expanded"><a name="L1412"></a><tt class="py-lineno">1412</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">radius</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L1413"></a><tt class="py-lineno">1413</tt>  <tt class="py-line">        <tt class="py-name">radius</tt> <tt class="py-op">=</tt> <tt class="py-name">reduce</tt><tt class="py-op">(</tt><tt id="link-609" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-609', 'min', 'link-87');">min</a></tt><tt class="py-op">,</tt> <tt id="link-610" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-610', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-number">2.</tt> </tt>
<a name="L1414"></a><tt class="py-lineno">1414</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">crop</tt><tt class="py-op">:</tt> </tt>
<a name="L1415"></a><tt class="py-lineno">1415</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-611" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-611', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-612" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-612', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1416"></a><tt class="py-lineno">1416</tt>  <tt class="py-line">                         <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">where</tt><tt class="py-op">(</tt><tt class="py-name">r</tt><tt class="py-op">&lt;=</tt><tt class="py-name">radius</tt><tt class="py-op">,</tt> </tt>
<a name="L1417"></a><tt class="py-lineno">1417</tt>  <tt class="py-line">                                            <tt id="link-613" class="py-name"><a title="Priithon.fftfuncs.zzern_r" class="py-name" href="#" onclick="return doclink('link-613', 'zzern_r', 'link-586');">zzern_r</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L1418"></a><tt class="py-lineno">1418</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1419"></a><tt class="py-lineno">1419</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-614" class="py-name"><a title="Priithon.fftfuncs.radialArr" class="py-name" href="#" onclick="return doclink('link-614', 'radialArr', 'link-250');">radialArr</a></tt><tt class="py-op">(</tt><tt id="link-615" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-615', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> </tt>
<a name="L1420"></a><tt class="py-lineno">1420</tt>  <tt class="py-line">                         <tt class="py-keyword">lambda</tt> <tt class="py-name">r</tt><tt class="py-op">:</tt>    <tt id="link-616" class="py-name"><a title="Priithon.fftfuncs.zzern_r" class="py-name" href="#" onclick="return doclink('link-616', 'zzern_r', 'link-586');">zzern_r</a></tt><tt class="py-op">(</tt><tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt class="py-name">r</tt><tt class="py-op">/</tt><tt class="py-name">radius</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1421"></a><tt class="py-lineno">1421</tt>  <tt class="py-line">     </tt>
<a name="L1422"></a><tt class="py-lineno">1422</tt>  <tt class="py-line"> </tt>
<a name="zzernikeArr"></a><div id="zzernikeArr-def"><a name="L1423"></a><tt class="py-lineno">1423</tt> <a class="py-toggle" href="#" id="zzernikeArr-toggle" onclick="return toggle('zzernikeArr');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#zzernikeArr">zzernikeArr</a><tt class="py-op">(</tt><tt class="py-param">shape</tt><tt class="py-op">=</tt><tt id="link-617" class="py-name"><a title="Priithon.fftfuncs.defshape" class="py-name" href="#" onclick="return doclink('link-617', 'defshape', 'link-5');">defshape</a></tt><tt class="py-op">,</tt> <tt class="py-param">no</tt><tt class="py-op">=</tt><tt class="py-number">9</tt><tt class="py-op">,</tt> <tt class="py-param">crop</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-param">radius</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">orig</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">dtype</tt><tt class="py-op">=</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">float32</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="zzernikeArr-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="zzernikeArr-expanded"><a name="L1424"></a><tt class="py-lineno">1424</tt>  <tt class="py-line"> </tt>
<a name="L1425"></a><tt class="py-lineno">1425</tt>  <tt class="py-line">    <tt class="py-name">n</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-618" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-618', 'sqrt', 'link-140');">sqrt</a></tt><tt class="py-op">(</tt><tt class="py-name">no</tt><tt class="py-op">)</tt> <tt class="py-op">)</tt> </tt>
<a name="L1426"></a><tt class="py-lineno">1426</tt>  <tt class="py-line">     </tt>
<a name="L1427"></a><tt class="py-lineno">1427</tt>  <tt class="py-line">    <tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">n</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">no</tt> <tt class="py-op">-</tt> <tt class="py-name">n</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">//</tt> <tt class="py-number">2</tt> </tt>
<a name="L1428"></a><tt class="py-lineno">1428</tt>  <tt class="py-line"> </tt>
<a name="L1429"></a><tt class="py-lineno">1429</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">m</tt><tt class="py-op">==</tt><tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L1430"></a><tt class="py-lineno">1430</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-619" class="py-name" targets="Function Priithon.fftfuncs.zzernikeN0Arr()=Priithon.fftfuncs-module.html#zzernikeN0Arr"><a title="Priithon.fftfuncs.zzernikeN0Arr" class="py-name" href="#" onclick="return doclink('link-619', 'zzernikeN0Arr', 'link-619');">zzernikeN0Arr</a></tt><tt class="py-op">(</tt><tt id="link-620" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-620', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">,</tt> <tt class="py-name">crop</tt><tt class="py-op">,</tt> <tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L1431"></a><tt class="py-lineno">1431</tt>  <tt class="py-line">    <tt class="py-keyword">elif</tt> <tt class="py-op">(</tt><tt class="py-name">no</tt> <tt class="py-op">-</tt> <tt class="py-name">n</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">:</tt> </tt>
<a name="L1432"></a><tt class="py-lineno">1432</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-621" class="py-name" targets="Function Priithon.fftfuncs.zzernikeNMSinArr()=Priithon.fftfuncs-module.html#zzernikeNMSinArr"><a title="Priithon.fftfuncs.zzernikeNMSinArr" class="py-name" href="#" onclick="return doclink('link-621', 'zzernikeNMSinArr', 'link-621');">zzernikeNMSinArr</a></tt><tt class="py-op">(</tt><tt id="link-622" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-622', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">crop</tt><tt class="py-op">,</tt> <tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
<a name="L1433"></a><tt class="py-lineno">1433</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L1434"></a><tt class="py-lineno">1434</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-623" class="py-name" targets="Function Priithon.fftfuncs.zzernikeNMCosArr()=Priithon.fftfuncs-module.html#zzernikeNMCosArr"><a title="Priithon.fftfuncs.zzernikeNMCosArr" class="py-name" href="#" onclick="return doclink('link-623', 'zzernikeNMCosArr', 'link-623');">zzernikeNMCosArr</a></tt><tt class="py-op">(</tt><tt id="link-624" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-624', 'shape', 'link-6');">shape</a></tt><tt class="py-op">,</tt> <tt class="py-name">n</tt><tt class="py-op">,</tt><tt class="py-name">m</tt><tt class="py-op">,</tt> <tt class="py-name">crop</tt><tt class="py-op">,</tt> <tt class="py-name">radius</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1435"></a><tt class="py-lineno">1435</tt>  <tt class="py-line"> </tt>
<a name="L1436"></a><tt class="py-lineno">1436</tt>  <tt class="py-line"> </tt>
<a name="L1437"></a><tt class="py-lineno">1437</tt>  <tt class="py-line"> </tt>
<a name="L1438"></a><tt class="py-lineno">1438</tt>  <tt class="py-line"> </tt>
<a name="lowPassGaussFilter"></a><div id="lowPassGaussFilter-def"><a name="L1439"></a><tt class="py-lineno">1439</tt> <a class="py-toggle" href="#" id="lowPassGaussFilter-toggle" onclick="return toggle('lowPassGaussFilter');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#lowPassGaussFilter">lowPassGaussFilter</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">sigma</tt><tt class="py-op">=</tt><tt class="py-number">5</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="lowPassGaussFilter-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="lowPassGaussFilter-expanded"><a name="L1440"></a><tt class="py-lineno">1440</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1441"></a><tt class="py-lineno">1441</tt>  <tt class="py-line"><tt class="py-docstring">    still something left for TODO:</tt> </tt>
<a name="L1442"></a><tt class="py-lineno">1442</tt>  <tt class="py-line"><tt class="py-docstring">       nx = s[0] # FIXME HACK</tt> </tt>
<a name="L1443"></a><tt class="py-lineno">1443</tt>  <tt class="py-line"><tt class="py-docstring">       sigma=1/(2.*N.pi*sigma)*nx    </tt> </tt>
<a name="L1444"></a><tt class="py-lineno">1444</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1445"></a><tt class="py-lineno">1445</tt>  <tt class="py-line">    <tt class="py-name">s</tt> <tt class="py-op">=</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-625" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-625', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L1446"></a><tt class="py-lineno">1446</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">any</tt><tt class="py-op">(</tt><tt class="py-name">s</tt> <tt class="py-op">%</tt> <tt class="py-number">2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1447"></a><tt class="py-lineno">1447</tt>  <tt class="py-line">        <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">"only shape % 2 == 0 supported"</tt> </tt>
<a name="L1448"></a><tt class="py-lineno">1448</tt>  <tt class="py-line">    <tt class="py-name">s2</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt><tt class="py-op">/</tt><tt class="py-number">2</tt> </tt>
<a name="L1449"></a><tt class="py-lineno">1449</tt>  <tt class="py-line"> </tt>
<a name="L1450"></a><tt class="py-lineno">1450</tt>  <tt class="py-line">    <tt class="py-name">nx</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-comment"># FIXME HACK</tt> </tt>
<a name="L1451"></a><tt class="py-lineno">1451</tt>  <tt class="py-line">    <tt class="py-name">sigma</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">2.</tt><tt class="py-op">*</tt><tt class="py-name">N</tt><tt class="py-op">.</tt><tt id="link-626" class="py-name"><a title="Priithon.mandel.pi
Priithon.plt.interface.pi
Priithon.plt.pi
Priithon.plt.plot_objects.pi
Priithon.plt.plot_utility.pi
Priithon.plt.wxplt.pi" class="py-name" href="#" onclick="return doclink('link-626', 'pi', 'link-235');">pi</a></tt><tt class="py-op">*</tt><tt class="py-name">sigma</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">nx</tt> </tt>
<a name="L1452"></a><tt class="py-lineno">1452</tt>  <tt class="py-line">    <tt class="py-name">g</tt> <tt class="py-op">=</tt> <tt id="link-627" class="py-name" targets="Function Priithon.fftfuncs.gaussianArr()=Priithon.fftfuncs-module.html#gaussianArr"><a title="Priithon.fftfuncs.gaussianArr" class="py-name" href="#" onclick="return doclink('link-627', 'gaussianArr', 'link-627');">gaussianArr</a></tt><tt class="py-op">(</tt><tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">s</tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">s2</tt><tt class="py-op">[</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">+</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L1453"></a><tt class="py-lineno">1453</tt>  <tt class="py-line">                    <tt class="py-name">sigma</tt><tt class="py-op">,</tt> <tt class="py-name">peakVal</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">,</tt> <tt class="py-name">orig</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">,</tt> <tt id="link-628" class="py-name"><a title="Priithon.py.PyWrap.wrap
Priithon.py.shell.Shell.wrap" class="py-name" href="#" onclick="return doclink('link-628', 'wrap', 'link-167');">wrap</a></tt><tt class="py-op">=</tt><tt class="py-op">(</tt><tt class="py-number">1</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-629" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.ndim" class="py-name" href="#" onclick="return doclink('link-629', 'ndim', 'link-32');">ndim</a></tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-op">(</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L1454"></a><tt class="py-lineno">1454</tt>  <tt class="py-line"> </tt>
<a name="L1455"></a><tt class="py-lineno">1455</tt>  <tt class="py-line">    <tt class="py-name">af</tt> <tt class="py-op">=</tt> <tt id="link-630" class="py-name"><a title="Priithon.fftfuncs.rfft
Priithon.fftw.rfft" class="py-name" href="#" onclick="return doclink('link-630', 'rfft', 'link-460');">rfft</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L1456"></a><tt class="py-lineno">1456</tt>  <tt class="py-line"> </tt>
<a name="L1457"></a><tt class="py-lineno">1457</tt>  <tt class="py-line">    <tt class="py-name">af</tt> <tt class="py-op">*=</tt> <tt class="py-name">g</tt> </tt>
<a name="L1458"></a><tt class="py-lineno">1458</tt>  <tt class="py-line">    <tt class="py-comment">#af[:sy2] *= g[sy2:]</tt> </tt>
<a name="L1459"></a><tt class="py-lineno">1459</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-comment">#af[sy2:] *= g[:sy2]</tt> </tt>
<a name="L1460"></a><tt class="py-lineno">1460</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L1461"></a><tt class="py-lineno">1461</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-631" class="py-name"><a title="Priithon.fftfuncs.irfft
Priithon.fftw.irfft" class="py-name" href="#" onclick="return doclink('link-631', 'irfft', 'link-457');">irfft</a></tt><tt class="py-op">(</tt><tt class="py-name">af</tt><tt class="py-op">)</tt> </tt>
</div><a name="L1462"></a><tt class="py-lineno">1462</tt>  <tt class="py-line"> </tt>
<a name="L1463"></a><tt class="py-lineno">1463</tt>  <tt class="py-line"> </tt>
<a name="mexF2d"></a><div id="mexF2d-def"><a name="L1464"></a><tt class="py-lineno">1464</tt> <a class="py-toggle" href="#" id="mexF2d-toggle" onclick="return toggle('mexF2d');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.fftfuncs-module.html#mexF2d">mexF2d</a><tt class="py-op">(</tt><tt class="py-param">a</tt><tt class="py-op">,</tt> <tt class="py-param">sigma2d</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="mexF2d-collapsed" style="display:none;" pad="++++" indent="++++"></div><div id="mexF2d-expanded"><a name="L1465"></a><tt class="py-lineno">1465</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L1466"></a><tt class="py-lineno">1466</tt>  <tt class="py-line"><tt class="py-docstring">    calculate -nd.gaussian_laplace sectionwise, using</tt> </tt>
<a name="L1467"></a><tt class="py-lineno">1467</tt>  <tt class="py-line"><tt class="py-docstring">    output=None, mode="reflect", cval=0.0</tt> </tt>
<a name="L1468"></a><tt class="py-lineno">1468</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L1469"></a><tt class="py-lineno">1469</tt>  <tt class="py-line"><tt class="py-docstring">    forcing float32 output</tt> </tt>
<a name="L1470"></a><tt class="py-lineno">1470</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L1471"></a><tt class="py-lineno">1471</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-name">scipy</tt><tt class="py-op">.</tt><tt class="py-name">ndimage</tt> <tt class="py-keyword">import</tt> <tt class="py-name">gaussian_laplace</tt> </tt>
<a name="L1472"></a><tt class="py-lineno">1472</tt>  <tt class="py-line">    <tt class="py-name">out</tt> <tt class="py-op">=</tt> <tt id="link-632" class="py-name"><a title="Priithon.fftfuncs.zeroArrF" class="py-name" href="#" onclick="return doclink('link-632', 'zeroArrF', 'link-356');">zeroArrF</a></tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-633" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-633', 'shape', 'link-6');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L1473"></a><tt class="py-lineno">1473</tt>  <tt class="py-line"> </tt>
<a name="L1474"></a><tt class="py-lineno">1474</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">tup</tt> <tt class="py-keyword">in</tt> <tt class="py-name">N</tt><tt class="py-op">.</tt><tt class="py-name">ndindex</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">.</tt><tt id="link-634" class="py-name"><a title="Priithon.mockNDarray.mockNDarray.shape" class="py-name" href="#" onclick="return doclink('link-634', 'shape', 'link-6');">shape</a></tt><tt class="py-op">[</tt><tt class="py-op">:</tt><tt class="py-op">-</tt><tt class="py-number">2</tt><tt class="py-op">]</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L1475"></a><tt class="py-lineno">1475</tt>  <tt class="py-line">        <tt class="py-name">gaussian_laplace</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">sigma2d</tt><tt class="py-op">,</tt> <tt class="py-name">output</tt><tt class="py-op">=</tt><tt class="py-name">out</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">mode</tt><tt class="py-op">=</tt><tt class="py-string">"reflect"</tt><tt class="py-op">,</tt> <tt class="py-name">cval</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
<a name="L1476"></a><tt class="py-lineno">1476</tt>  <tt class="py-line">        <tt class="py-name">out</tt><tt class="py-op">[</tt><tt class="py-name">tup</tt><tt class="py-op">]</tt> <tt class="py-op">*=</tt> <tt class="py-op">-</tt><tt class="py-number">1</tt> </tt>
<a name="L1477"></a><tt class="py-lineno">1477</tt>  <tt class="py-line"> </tt>
<a name="L1478"></a><tt class="py-lineno">1478</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">out</tt> </tt>
</div><a name="L1479"></a><tt class="py-lineno">1479</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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